to be announced soon.
Old Special Lectures and Short Courses
Digitalni zpracovani obrazu
 Lecturer: Dr. Filip Sroubek ÚTIA AV ČR

Date:
 5/12/11
(18:0019:00) Dr. Filip Šroubek ÚTIA AV ČR
 Organizers: Charles University in Prague Chapter of SIAM
 Place: Poslucharna K1
 Prednaska bude mit lehce popularizacni formu a nevyzaduje zadne specialni znalosti.
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Predstaveni Charles University in Prague Chapter of SIAM
 Lecturer: Mgr. Barbora Benesova
MUUK

Date:
 Organizers: SIAM SC
 Place: Poslucharna K1
 Charles University in Prague Chapter of SIAM ( http://siam.karlin.mff.cuni.cz/chapter/ ) je uskupeni studentu a odborne verejnosti se zajmem o aplikovanou matematiku, ktere si klade za cil zejmena propagovat aplikovanou matematiku a posilit spolupraci mezi studenty navzajem jakoz i mezi studenty a odbornou verejnosti. Stejne jako tamer 100 dalsich Sudent Chapters of SIAM funguje pod hlavickou organizace SIAM a jeji chod je zajisťovan z velke casti studenty za pomoci dvou mentoru (advisors) z akademicke obce. Mentory Charles University in Prague Chapter of SIAM jsou prof. Josef Malek a prof. Zdenek Strakos.
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Approximation and numerical realization of Stokes equations with slip boundary conditions
 Lecturer: Dr. M. Gdoura university Caen, Basse Normandie, France

Date:
 Place: K6
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Generalised trigonometric functions and the pLaplacian
 Lecturer: Prof. David Edmunds
University of Sussex, Brighton, UK

Date:
 10/5/11
(09:0010:00)
 17/5/11
(09:0010:00)
 Place: Blue lecture hall, Institute of Mathematics AS CR, Zitna 25, Prague
 A survey will be given of recent developments in the theory of generalised trigonometric functions. These functions play an important role in questions involving the pLaplacian and also have considerable intrinsic interest: several outstanding questions remain unresolved and will be discussed. Other approaches to the Dirichlet problem for the pLaplacian will also be considered.
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Stochastic evolution equations
 Lecturer: Prof. RNDr. Bohdan Maslowski, DrSc.
Charles University in Prague, Faculty of Mathematics and Physics

Date:
 17/1/11
(09:0010:30)
 19/1/11
(13:0014:30)
 20/1/11
(09:0010:30)
 Organizers: Eduard Feireisl
 Place: Institute of Mathematics AS CR, Zitna 25, Prague
On Monday 17th January the lecture takes place in the seminar room at 3rd floor of the front building, the remaining lectures will be in the blue lecture hall in the building beyond the backyard.
The series of three talks is designed as an introduction to the theory
of stochastic evolution equations (or, alternatively, stochastic
differential equation in infinite dimensional spaces) for analysts. No
preliminary knowledge of probability theory is required. The course
may be divided into three parts;
In the first part, some basic notions and facts from probability
theory and stochastic analysis are recalled and discussed: The
concepts of white noise, Brownian motion (Wiener process), stochastic
integral and (finitedimensional) stochastic differential equation are
given and explained and some comparison with the deterministic theory
is offered.
The second part is focused on basic stochastic analysis (and simple
stochastic differential equations) in infinite dimensions. The
differences between finite and infinite dimensional theory are
stressed and illustrated in some cases, e.g. for stochastic heat
equation.
In the third part, some specific stochastic PDEs are studied
(stochastic Burgers and NavierStokes equations).
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Bridging Scales  Challenges to Mathematics and Computational Sciences
 Lecturer: Prof. Willi Jaeger University of Heidelberg

Date:
 Organizers: Institute of Mathematics AS CR
 Place: Lecture hall, back building of the Institute of Mathematics AS CR, Zitna 25, Praha 1
 The event is organized within the Cech Lecture Series in honour of prof. Eduard Cech, an outstanding Czech mathematician and the founder of the Institute of Mathematics AS CR.
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An introduction to Orlicz spaces
 Lecturer: Ron Kerman Brock University, Canada

Date:
 5/10/10
(10:4511:45)
 12/10/10
(09:0010:00)
 12/10/10
(10:1511:15)
 19/10/10
(10:1511:15)
 26/10/10
(10:1511:15)
 Place: blue lecture hall in the building beyond the backyard, Institute of Mathematics, AS CR, Zitna 25, Praha 1
__________________________________________________________________________________________________________________________________________________________________________
Mathematical problems of the Qtensor theory of liquid crystals
Weakly nonlinear analysis of the HamiltonJacobiBellman parabolic equation arising from optimal portfolio management
 Lecturer: Prof. Daniel Sevcovic
http://www.iam.fmph.uniba.sk

Date:
 Organizers: FJFI CVUT v Praze
 Place: Trojanova 13, Praha 2, room 112
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FiniteVolume Method in Image Processing
 Lecturer: Prof. Karol Mikula

Date:
 Organizers: FJFI CVUT v Praze
 Place: Trojanova 13, Praha 2
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Mathematical models and numerical methods in image processing with applications in developmental biology
 Lecturer: Prof. Karol Mikula

Date:
 Organizers: FJFI CVUT v Praze
 Place: Trojanova 13, Praha 2, room #212
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Finite element methods for convectiondiffusion problems II: Layeradapted meshes
 Lecturer: Prof. HansGoerg Roos TU Dresden

Date:
 1/3/10
(15:4017:10)
 4/3/10
(14:0015:30)
 8/3/10
(17:2018:50)
 11/3/10
(14:0015:30)
 Place: 1.3. and 8.3. in lecture room K1, 4.3. and 11.3. in lecture room K3, 2nd floor, MFF UK, Sokolovska 83, Praha
 March 1, 15:45: Solutiondecomposition and classification of meshes
March 4, 14:00: GalerkinFEM on layeradapted meshes
March 8, 17:20: NitscheMortaring and stabilization on layeradapted meshes
March 11, 14:00 Solution recovery and nonstationary problems
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Analytical and numerical methods of financialderivative pricing
 Lecturer: Daniel Sevcovic
http://www.iam.fmph.uniba.sk

Date:
 3/9/09
(13:3015:00) D. Ševčovič
 4/9/09
(09:3011:00) D. Ševčovič
 10/9/09
(14:3016:00) D. Ševčovič
 11/9/09
(09:3011:00) D. Ševčovič
 17/9/09
(13:3015:00) D. Ševčovič
 18/9/09
(09:3011:00) D. Ševčovič
 24/9/09
(13:3015:00) D. Ševčovič
 25/9/09
(09:3011:00) D. Ševčovič
 Organizers: M. Benes
 Place: FJFI CVUT v Praze, Trojanova 13, room No. 112
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Main mathematical tools for the study of turbulent models
 Lecturer: Prof. Roger Lewandowski University Rennes 1

Date:
 5/5/09
(09:0010:00)
 5/5/09
(10:1511:15)
 Place: Blue lecture hall, Zitna 25, Praha 1
1. Main mathematical tools for the study of turbulent models
We show first the BoccardoGallouet interpolation inequality. We next prove existence results for the coupled ku system in case of bounded eddy viscosity terms, in 2D and 3D cases.
2. Renormalized solutions to the scalar ku system for unbounded eddy viscosties
We turn to the 3D scalar ku system with homogeneous boundary conditions. We define the notion of « renormalized solutions » and we prove the existence of a renormalized solution to the system in case of unbounded eddy viscosities.
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Two lectures of PierreLouis Lions
 Lecturer: PierreLouis Lions College de France, Universite Paris 9 „Dauphine“ and Ecole Polytechnique

Date:
 29/4/09
(18:0019:00)
 30/4/09
(10:3011:30)
Lecture 1: Symmetric Functions of a Large Number of Variables
Lecture Room K1, Sokolovska 83
In this talk, we present the general mathematical tools needed to justify the derivation of Mean Field Games models. It turns out that these tools have many other applications: Large deviations for Stochastic Partial Differential Equations and applications to Physics, interacting systems of stochastic particles, Nonlinear Partial Differential Equations (NLPDE in short) in large dimensions, mass transportation theory... We shall present the natural setup for all these asymptotic problems in the space of probability measures (the socalled Wasserstein space). The differential calculus and NLPDE on this space is deduced from such limits.
Lecture 2: On Mean Field Games
Blue Hall, Zitna 25
This talk will be a general presentation of Mean Field Games (MFG in short), a new class of mathematical models and problems introduced and studied in collaboration with JeanMichel Lasry. Roughly speaking, MFG are mathematical models that aim to describe the behavior of very large number of agents who optimize their decisions while taking into account and interacting with the other agents. The derivation of MFG, which can be justified rigorously from Nash equilibria for N players games, letting N go to infinity, leads to new nonlinear systems involving ordinary differential equations or partial differential equations. Many classical systems are particular cases of MFG like, for example, compressible Euler equations, Hartree equations, porous media equations, semilinear elliptic equations, HamiltonJacobiBellman equations, VlasovBoltzmann models... In this talk we shall explain in a very simple example how MFG models are derived and present some overview of the theory, its connections with many other fields and its applications.
About the speaker: PierreLouis Lions (born August 11, 1956) received his doctorate from the University of Pierre and Marie Curie in 1979 when he was 23 years old. He won many prizes including the Fields Medal in 1994. He is a doctor honoris causa of HeriotWatt University (Edinburgh) and of the City University (HongKong). Currently, he holds the Chair of Professor of Partial differential equations and their applications at the prestigious College de France in Paris, he has also the position at Universite Paris 9 „Dauphine“ and Ecole Polytechnique. He has been a scientific advisor to various institutions worldwide (both public and private) such as the French Atomic Energy Agency, INRIA, CISI, BNP Paribas, Reech Alternative Investment and EADS. He was a board member of Alcatel Lucent for the past ten years. He is the chairman of the scientific boards of EDF, FranceTelecom, Ecole Normale Superieure and CEADAM. PierreLouis Lions is a leading applied mathematician whose work covers nonlinear equations and their applications. He has made fundamental discoveries in the areas such as the mechanics of compressible fluids, VlasovBoltzmann equations, HamiltonJacobi equations, image processing, financial mathematics, stochastic PDEs, to name a few.
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Some problems in the modeling of crack initiation and propagation at micro and mesoscale in composite materials and their adhesive joints
 Lecturer: Mantic Vladislav

Date:
 Organizers: FJFI CVUT v Praze
 Place: Trojanova 13
 The lecture takes place in the room #112.
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Tangent distributions and Sobolev surfaces
 Lecturer: Prof. Valentino Magnani Universita Pisa

Date:
 27/4/09
(14:0015:00)
 28/4/09
(12:2013:20)
 29/4/09
(10:0011:00)
 Organizers: Jan Maly
 Place: 1st lecture in K9 (MFF UK, Sokolovska 83), 2nd lecture in K3 (MFF UK), 3rd lecture in Blue seminar room (MU AV CR, Zitna 25)
 The course focusses on the study of surfaces with weak regularity and
their relationship with nonintegrable distributions of planes.
Involutivity is a well known necessary condition for integrability of smooth
tangent distributions. We show that this condition is still necessary for
integrability with Sobolev surfaces. Motivations for this study come from the
subRiemannian Geometry of the 3dimensional Heisenberg group. Here we answer a
question raised in a paper by Z.M.Balogh, R.HoeferIsenegger, and J.T.Tyson.
The tools involved are classical and use elementary facts on rectifiability,
Sobolev functions, weak jacobians and Sobolev forms.
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Necas seminar on continuum mechanics dedicated to Jan Kratochvil s 75th birthday
 Lecturer: Prof. Jan Kratochvil, Prof. Kumbakonam R. Rajagopal

Date:
 Organizers: prof. RNDr. M. Feistauer, DrSc., dr. h. c., prof. RNDr. J. Haslinger, DrSc., prof. RNDr. J. Malek, CSc., DSc, prof. Ing. T. Roubicek, DrSc.
 Place: lecture room K1, Sokolovska 83, Praha 8
16:00 Opening (IVAN NETUKA, JOSEF MALEK)
16:15 JAN KRATOCHVIL: Modeling of microstructure formation in materials exposed to severe plastic deformation
17:15 Coffee break
17:30 K. R. RAJAGOPAL: The elasticity of elasticity
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Mathematical methods in hydrodynamics
 Lecturer: Feireisl Eduard
http://geraldine.fjfi.cvut.cz

Date:
 Organizers: FJFI CVUT v Praze
 Place: Trojanova 13, Praha 2
 The lecture takes place in the room #112, Department of Mathematics, FJFI CVUT v Praze
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OrliczSobolev spaces and applications to strongly nonlinear PDEs
 Lecturer: Prof. Andrea Cianchi University of Firenze

Date:
 7/4/09
(09:0010:00)
 14/4/09
(10:1511:15)
 21/4/09
(11:3012:30)
 28/4/09
(10:1511:15)
 Place: Blue seminar room, Institute of Mathematics, Zitna 25, Praha 1
Lecture 1
Basic definitions and properties of Orlicz and OrliczSobolev spaces.
Isoperimetric inequalities.
Symmetrization principles for Orlicz norms of the gradient.
Anisotropic symmetrization and anisotropic OrliczSobolev spaces.
Lecture 2
Embedding theorems for firstorder OrliczSobolev spaces.
Anisotropic Sobolev inequalities.
Embedding theorems for higherorder OrliczSobolev spaces
Lecture 3
Continuity and differentiability properties of OrliczSobolev
functions. Boundedness of solutions to variational problems under
general growth conditions
Lecture 4
Local boundedness of solutions to fully anisotropic elliptic equations
in divergence form. Higherintegrability properties of the gradient
of solutions to variational problems under general growth conditions.
Slides: lecture 1, lecture 2
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Asymptotic behavior of dissipative evolution equations
 Lecturer: Prof. Maurizio Grasselli Politecnico di Milano

Date:
 6/4/09
(15:4017:00)
 14/4/09
(09:0010:00)
 21/4/09
(09:0010:00)
 28/4/09
(09:0010:00)
 The first two lectures will be devoted to the following theoretical aspects
The dynamical system approach: semigroups of operators, trajectories and orbits, phase space, equilibria, invariant sets, omegalimit sets.
Dissipative dynamical systems: bounded absorbing sets, attracting sets, compactness and asymptotic compactness, global attractors and their properties, existence theorems, dynamics on the attractor, Lyapunov functionals and gradient systems, unstable and stable manifolds, characterization of global attractors for gradient systems.
The last two lectures will be concerned with concrete examples, namely,
Reactiondiffusion equations: wellposedness, bounded absorbing sets, compact absorbing sets, global attractor, further related examples (3D NS equation, CahnHilliard equation, phasefield systems, twophase fluids).
Damped semilinear wave equations: wellposedness, critical growth, the 3D case (bounded abosrbings sets, compact attracting sets, global attractor).
Slides: 1 and 2, 3 and 4
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Numerical realization of motion of curves and sharp phase interfaces in plane
 Lecturer: Sevcovic Daniel
http://www.iam.fmph.uniba.sk/

Date:
 Organizers: FJFI CVUT v Praze
 Place: Trojanova 13, Praha 2
 The course schedule is on the web page.
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Singular limits in the thermodynamics of viscous fluids
 Lecturer: Prof. Antonin Novotny Universite du Sud Toulon Var

Date:
 30/3/09
(15:4016:40)
 30/3/09
(17:2018:20)
 31/3/09
(10:1511:15)
 6/4/09
(17:2018:20)
 Place: seminar room K1, Sokolovska 83 (1st, 2nd and 4th lecture); blue lecture hall, Zitna 25 (3rd lecture)
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On the existence and regularity of weak solutions to the NavierStokesFourier systems under Dirichlet boundary conditions
 Lecturer: Dr. Joerg Wolf University of Magdeburg

Date:
 16/3/09
(15:4016:40)
 17/3/09
(09:0010:00)
 17/3/09
(10:1511:30)
 24/3/09
(10:1511:30)
 1. On the pressure of the NavierStokes equations from different points of view
2. Existence of suitable weak solutions to the NavierStokesFourier system and partial regularity  Part I
3. Existence of suitable weak solutions to the NavierStokesFourier system and partial regularity  Part II
4. Existence of renormalized solutions to the NavierStokesFourier
system and partial regularity
Full abstract: pdf
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Introduction to 3D finite element computation
 Lecturer: SUZUKI Atsushi
Kyushu University Fukuoka/CVUT v Praze

Date:
 27/1/09
(15:0016:30) SUZUKI Atsushi
 28/1/09
(14:0015:30) SUZUKI Atsushi
 29/1/09
(14:0015:30) SUZUKI Atsushi
 Organizers: Department of Mathematics, FJFI CVUT v Praze
 Place: Trojanova 13, room #112
 The lectures will show the following techniques which are useful
in developing 3D finite element computational codes.
1. Global stiffness matrix form local element stiffness matrices and
sparse matrix storage formats.
Discritization of the bilinear form of the 3D elasticity problem by
P1 or P2 finite element is described with numerical quadratures.
An algorithm to generate the global stiffness matrix from local element
stiffness matrices and to store the values with the CRS (Compressed
Row Storage) format is shown.
2. Linear solvers for the system of the sparse matrix.
Direct factorization with the SKS (SKyline Storage) format, which is
efficient for small size problems, is shown. Krylov subspace methods,
e.g, conjugate gradient, FOM, and GMRES methods are shown for large sparse
matrix problems. Modifications of linear system to treat the essential
boundary conditions are mentioned.
3. Parallel computation with domain decomposition.
The stiffness matrix is decomposed into a union of blocks by
a domain decomposition. Parallelization of matrixvector products in
Krylov subspace methods is shown. Iterative substructuring method
which solve the Schur complement system on the interfaces
among subdomains is described.
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Special Seminar to Honor the Centennary of Professor Sergey L vovich Sobolev
 Lecturer: Doc. RNDr. Lubos Pick, CSc., DSc. Charles University, Prague

Date:
 15/12/08
(15:4016:30)
 15/12/08
(17:0017:50)
 Organizers: Prof. RNDr. M. Feistauer, DrSc., Prof. RNDr. J. Haslinger, DrSc., Prof. RNDr. J. Malek, DSc., Prof. Ing. T. Roubicek, DrSc.
 Place: Lecture room K1, Sokolovska 83, Praha 8
 Lecture 1: Sobolev Spaces and their Optimality in Embeddings  Old and New
We develop a new method that enables one to test whether a given Sobolev
embedding can or cannot be improved in the framework of the
rearrangementinvariant spaces. The method is applicable to various tasks
including Sobolev embeddings, boundary trace embeddings, logarithmic
Sobolev inequalities etc.
Lecture 2: The Gateway to Compactness
We focus on finding the frontier (if only such a thing exists) between
boundedness and compactness of a Sobolev embedding. We apply the result to
obtaining a manageable condition equivalent to saying that a Sobolev
embedding involving a pair of rearrangement  invariant spaces is compact.
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Ergodic Theory for Stochastic PDEs
 Lecturer: Prof. Martin Hairer
University of Warwick, UK

Date:
 8/12/08
(15:4017:10)
 8/12/08
(17:2018:50)
 16/12/08
(10:1511:15)
 16/12/08
(11:3012:30)
 Place: 8.12. in lecture hall K1, Sokolovska 83, Praha 8; 16.12. in Blue lecture hall, Zitna 25, Praha 1
 The aim of these lectures is to present a reasonably selfcontained
theory of ergodicity for stochastic processes that is sufficiently
flexible to allow to deal with infinitedimensional problems like the
stochastic Navier Stokes equations, stochastic reactiondiffusion
equations, etc. In the first lecture, we will introduce the main
objects and problems, and remind the audience of the classical
theory of Harris chains. We will go through elementary sketches of
proofs of some of the main results of this theory. In the second
lecture, we will argue that the theory of Harris chains is not
suitable for infinitedimensional problems and we will lay down the
foundations for a modified theory that is more flexible. The remainder
of the course will be devoted to the applications of this theory to a
class of stochastic PDEs. In the third lecture, we will sketch the
proof of a general ergodicity result. The final lecture will be
devoted to showing how to leverage the bounds obtained in the third
lecture to obtain an exponential convergence result.
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Memorial Seminar Jindrich Necas and Contact problems
 Lecturer: Prof. Dr. Barbara Wohlmuth, Prof. Dr. Christof Eck, Prof. RNDr. Igor Bock, PhD
 Date:
from 1/12/08 to
1/12/8
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 Organizers: M. Feistauer, J. Haslinger, J. Jarusek, J. Malek, S. Necasova, M. Rokyta, T. Roubicek
 Place: Seminar room K1, 2nd floor, Sokolovska 83, Praha 8  Karlin
__________________________________________________________________________________________________________________________________________________________________________
Simple results for 3D NSE in periodic case
 Lecturer: Roger Lewandowski
University Rennes 1, France

Date:
 3/11/08
(17:2018:30)
 4/11/08
(09:0000:00)
 10/11/08
(17:2018:30)
 11/11/08
(09:0000:00)
 Talk 1. Some remarks on Sobolev spaces for periodic functions
Talk 2. LerayAlpha and Bardina models in the periodic case
Talk 3. Deconvolution models, still in the periodic case
Talk 4. What remains true when one works with realistic BC such as
the interaction between the ocean and the atmosphere, some open
problems.
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Recent results on stabilized finite element methods for advectiondiffusion and flow problems
 Lecturer: Prof. Dr. Gert Lube
Institut fuer Numerische und Angewandte Mathematik (NAM), GeorgAugustUniversitat Gottingen, Germany

Date:
 6/10/08
(15:4017:00)
 9/10/08
(14:0015:20)
 13/10/08
(17:2018:40)
 20/10/08
(15:4017:10)
 23/10/08
(14:0015:20)
 Place: Lectures 1, 3, 4 in lecture room K1 (NSCM); Lectures 2, 5 in lecture room K3
Lecture 1: Stabilized finite element methods for thermally coupled incompressible flows
The talk is concerned with stabilized finite element methods for the incompressible NavierStokes problem with thermal coupling. Turbulent flows are simulated based on an unsteady Reynoldsaveraged NavierStokes (URANS) model. In the discrete case, an equalorder interpolation is applied to all unknowns. Some aspects of classical residualbased stabilization techniques like streamlineupwind stabilization (SUPG), pressure stabilization (PSPG), stabilization of the divergencefree constraint (divdiv stabilization) and the treatment of boundary and interior layers will be addressed. Finally, some applications to indoorair flow simulation are given.
Lecture 2: Minimal stabilization techniques for incompressible flows.
The talk considers different variants for stabilized FEM for the incompressible NavierStokes problem where the discrete velocitypressure approximation is subject to a discrete infsup condition. After a critical review of the classical residualbased stabiliziation we discuss a variant where the pressure stabilization is omitted. Schemes with localprojection stabilization avoid a stability problem of the former method. Emphasis is on cases, where some of the stabilization terms are not necessary. Finally, we extend the approach to the variational multiscale modelling of turbulent flows.
Lecture 3: Local projection stabilization methods for singularly elliptic problems.
The concept of variational multiscale methods (VMS) is the starting point of the talk. The first goal is to describe the link of local projection stabilization (LPS) techniques to the VMS framework. Then we present recent results on the apriori analysis for LPS methods applied to the basic linear advectiondiffusionreaction problem. Moreover, a critical comparison to the standard streamlinediffusion stabilization will be given.
Lecture 4: Calibration of subgrid viscosity models for turbulent incompressible flows.
We start with some requirements for the large eddy simulation (LES) of incompressible flows. Then we consider the variational multiscale approach to LES and discuss a parameter identification problem for the corresponding subgridscale model. Finally, we present some recent results for the LES with a collocated finite volume code applied to standard benchmark problems and give some conclusions for the finite element case.
Lecture 5: Optimal control of singularly perturbed advectiondiffusionreaction problems.
In this talk, we consider the numerical analysis of quadratic optimal control problems governed by a linear advectiondiffusionreaction equation without control constraints. In the case of dominating advection, the basic Galerkin discretization is stabilized via the one or twolevel variant of the local projection approach which leads to a symmetric optimality system at the discrete level. The optimal control problem simultaneously covers distributed and Robin boundary control. In the singularly perturbed case, the boundary control can be seen as regularization of Dirichlet boundary control. This approach will be critically discussed.
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Large time behavior for diffusive HamiltonJacobi equations
 Lecturer: Philippe Laurencot
Universite Paul Sabatier, Toulouse

Date:
 31/3/08
(15:4016:40)
 1/4/08
(10:0011:00)
 14/4/08
(15:4016:40)
 15/4/08
(10:0011:00)
 21/4/08
(15:4016:40)
__________________________________________________________________________________________________________________________________________________________________________
Regularity properties of solutions to elasticplastic problems
 Lecturer: Prof. J. Frehse Institute for Applied Mathematics, University of Bonn

Date:
 26/3/08
(08:3010:00)
 2/4/08
(08:3010:00)
 Organizers: J. Malek
 Place: Seminar room K3, Karlin
__________________________________________________________________________________________________________________________________________________________________________
Numerical analysis of some boundary flux computations
 Lecturer: Prof. Daisuke Tagami Kyushu University, Fukuoka

Date:
 19/3/08
(09:3010:30) Prof. Daisuke Tagami Kyushu University, Fukuoka
 Organizers: Michal Benes
 Place: FJFI CVUT, Trojanova 13, Praha 2, m.c. 112
__________________________________________________________________________________________________________________________________________________________________________
On the double criticalstate model for typeII superconductivity in 3D
 Lecturer: Dr. Yohei Kashima Hokkaido University, Sapporo

Date:
 Organizers: Michal Benes
 Place: FJFI CVUT, Trojanova 13, Praha 2, m.c. 112
__________________________________________________________________________________________________________________________________________________________________________
Analysis of RateIndependent Material Models
 Lecturer: Prof. Dr. A. Mielke
WIAS & HU Berlin

Date:
 3/3/08
(15:4016:40)
 4/3/08
(10:0011:00)
 10/3/08
(15:4016:40)
 11/3/08
(10:0011:00)
 11/3/08
(11:3012:30)
 Place: Lecture 1,2: room K1 at Sokolovska 83; Lecture 2,4(,5): Mathematical Institute, Zitna 25
 Some physical processes like dry friction, elastoplasticity, damage,
hysteresis in ferromagnets and shapememory alloys can be modeled by
rateindependent material laws. We provide mathematical models for such
processes and discuss general existence results based on the energetic
formulation which is based on the dissipation distance and the storedenergy
funtional. Several applications are given and the question of convergence of
solutions under Gamma convergence of the functionals is addressed. The latter
theory provides convergence of numerical schemes and homogenization results.
Schedule
L1. Classical rateindependent models including elastoplasticity (evolutionary
variational inequalities, sweeping processes, differential inclusions)
L2. The energetic formulation via functionals (general theory on topological
spaces, main existence result)
L3. Applications in material models (damage, hysteresis in ferroelectricity,
finitestrain elastoplasticity)
L4. Gamma convergence for rateindependent processes and convergence of
spacetime discretization
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Multiscale simulations of surface dynamics and solidification based on the phasefield approach
 Lecturer: Prof. Heike Emmerich
RWTH Aachen

Date:
 Organizers: Michal Benes, FJFI CVUT v Praze
 Place: FJFI CVUT v Praze, Trojanova 13, Praha 2, room #112
 More details can be found on the page http://geraldine.fjfi.cvut.cz/mmg/mmg_activ.html
__________________________________________________________________________________________________________________________________________________________________________
LiquidVapour Flows: Models and Numerical Methods
 Lecturer: Prof. Dr. Christian Rohde University of Stuttgart

Date:
 7/1/08
(15:4016:40)
 10/1/08
(14:0015:30)
 7.1.  Modelling of LiquidVapour Flows: Diffuse Interface versus Sharp Interface and Mesoscopic versus Macroscopic Models
10.1.  Numerical Methods for LiquidVapour Flows with Focus on SharpInterface Models
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On convexity phenomenon for curvature flows of plane curves
 Lecturer: Prof. Shigetoshi Yazaki University of Miyazaki, Japan/Czech Technical University in Prague

Date:
 4/12/07
(09:3010:30)
 6/12/07
(13:3014:30)
 11/12/07
(09:3010:30)
 13/12/07
(13:3014:30)
 Organizers: Dr., Ing. Michal Benes
 Place: Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Trojanova 13, room No. 112
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Level set approach to mean curvature
 Lecturer: Prof. Masato Kimura Kyushu University, Fukuoka, Japan / Czech Technical University in Prague

Date:
 20/11/07
(09:3010:30)
 22/11/07
(13:3014:30)
 27/11/07
(09:3010:30)
 29/11/07
(13:3014:30)
 Organizers: Dr., Ing. Michal Benes
 Place: Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Trojanova 13, room No. 112
__________________________________________________________________________________________________________________________________________________________________________
Boundary Integral Equations and Pseudodifferential Operators
 Lecturer: Prof. em. Dr.Ing. Dr. h.c. Wolfgang L. Wendland
Institut fuer Angewandte Analysis und numerische Simulation
, Lehrstuhl fuer Angewandte Mathematik, Universitaet Stuttgart

Date:
 5/11/07
(15:4000:00)
 5/11/07
(17:2000:00)
 8/11/07
(14:0000:00)
 15/11/07
(14:0000:00)
 19/11/07
(17:2000:00)
 26/11/07
(17:2000:00)
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Maximal regularity for parabolic systems in weak settings
 Lecturer: Prof. em. H. Amann, Dr. Dr. h. c.
Institut für Mathematik, Universität Zürich

Date:
 2/10/07
(10:1511:15)
 2/10/07
(11:3012:30)
 15/10/07
(17:1518:15)
 16/10/07
(10:1511:15)
 22/10/07
(17:1518:15)
 23/10/07
(10:1511:15)
 23/10/07
(11:3012:30)
 Place: Oct 2, 16, 23 in Mathematical Institute AS, Zitna 25
Oct 15, 22 in MFF UK, Sokolovska 83, lecture room K1
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Thermodynamics of Materials Undergoing Dissipative Processes
 Lecturer: Prof. K.R. Rajagopal Texas A&M University, College Station, USA

Date:
 Place: UI AV CR, Pod Vodarenskou vezi 2, Praha 8, room c. 318 metro C; tram 10,17,24; bus 103,145,156,177,186,187  Ladvi
 http://www.cs.cas.cz/ics/semcm/
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On some higher order finite volume approximations on lower order schemes
 Lecturer: Dr. Abdallah Bradji NCMM, Prague

Date:
 Place: MFF UK, Sokolovska 83, lecture room K3
The first part is devoted to the so called ?Improved Convergence Order in Finite Volume
Methods? . We consider a Second Order Elliptic Problem posed on an Intervall or on a
Connected Polygonal Domain in Two Dimensional Space.
We introduce an Admissible Mesh in the sense of [1].
The Convergence Order of the Finite Volume Approximate Solution (called Basic Finite
Volume Solution) is in general O(h) in both discrete norms L2 and H1 norms.
We suggest a Technique, based on the socalled Fox?s Difference Correction [2] in Finite
Difference Method, which allows us to obtain a new Finite Volume Approximation of order
O(h^{?}), where ? equal to 2 or 3
2 . In addition to this, this new Finite Volume Approxima
tion can be computed using the same matrix that used to compute the basic Finite Volume
Solution. This means that the computational cost of the Basic Finite Volume Solution is
comparable to that of the new Finite Volume Approximation.
This allows us, in case of Domain Problem is Intervall or a Rectangle, to obtain Finite
Volume Approximations of Arbitrary Order and these Approximations can be computed
using the same matrix that used to compute the Basic Finite Volume Solution .
Our Technique can be extended to Improve Convergence Order of Finite Volume Approx
imate Solutions of some Parabolic, Hyperbolic and Nonlinear Equations.
We give an Application of our idea to Improve Convergence Order of Finite Element Solu
tions on Non Uniform Meshes.
In the Second Part, we suggest Finite Element and Finite Volume Schemes for a Coupled
System of Elliptic Equations, modelling Electrical Conduction and Heat Diffusion with
Ohmic losses.
The Ohmic losses generate L1
right hand side, which requires an adequate procedure,
adapted from L1
theory of Boccardo and Gallouet.
Among the interesting paths to follow is to use the results of the First Part to Improve the
Convergence of the Finite Volume Scheme cited in the Second Part
[1] R. Eymard, T. Gallou?et and R. Herbin: Finite Volume Methods. Handbook of Numerical Analysis. P. G.
Ciarlet and J. L. Lions (eds.), vol. VII, 7231020, 2000.
[2] L. Fox: Some Improvements in the Use of Relaxation Methods for the Solution of Ordinary and Partial
Defferential Equations. Proc. Roy. Soc. Lon Ser. A, 190, 3159, 1947.
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Numerical Simulation of the Coagulation Dynamics of Blood
 Lecturer: Ing. Tomas Bodnar, PhD. Department of Technical Mathematics, Czech Technical University, Prague

Date:
 Place: MFF UK, Sokolovska 83, lecture room K3
 The aim of the talk is to present first numerical simulations of blood
clot formation obtained using new advanced biochemistry model. Previous
version of the model is analyzed in detail pointing out some of the issues ad
dressed in the recent update of the model. The model problem is assumed to
be fully threedimensional involving both blood flow and chemical reactions.
Blood flow model is based on generalized NavierStokes system employing a
nonNewtonian shearthinning viscosity. Biochemistry model for blood coag
ulation is represented by a system of 23 coupled advectiondiffusionreaction
equations. Both parts of the model are solved simultaneously in a domain
which represents a segment of a straight vessel with circular crossection. The
blood clot formation is investigated in the vicinity of a simulated vessel wall
injury. Numerical simulation of the whole model is carried out by a finite
volume scheme employing RungeKutta method for time integration. Results
of numerical simulation of initial stage of clot formation in straight vessel are
presented and discussed.
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Thrombosis & Hemostasis: Biology & kinetic considerations, Influence of shear on primary hemostasis
 Lecturer: Dr. Frederic Weller IWR, Universitaet Heidelberg, Germany

Date:
 18/6/07
(16:4517:45)
 19/6/07
(10:1511:15)
 Place: MFF UK, Sokolovska 83, , Monday 18.6. lecture room K6, Tuesday 19.6. lecture room K3
Hemostasis is responsible to stem blood loss after injury by platelet plug formation. Although
being life essential, a major part of deaths in the western society is due to thrombotic events
provoked by disorders of the hemostatic system. Therefore, a better understanding of the
underlying mechanisms is needed.
The first talk presents the biological background and focuses on the kinetics (without taking flow
into account). The mechanisms of platelet adhesion/aggregation and the chemical processes are
explained in quite detail, the latter both from a cascade and from a cellbased view. Then, the
ODEmodel of Kenneth Mann serves to study feedback mechanisms, threshold behavior and
impairement of thrombin production in the bleeding disorder hemophilia. These findings help to
understand hemostatic processes under static flow conditions, which ist the case in many clinical
tests.
The second talk investigates the influence of flow, particularly of shear stress, on platelet
adhesion and aggregation. For this purpose, two mathematical models based on the Navier
Stokes equations and on particle conservation are developped. The first one shall capture the
initial phase of platelet adhesion, whereas the second one is a free boundary problem to describe
long term flow disturbances. Numerical simulations of the latter are done using the level set
method. Two vessel geometries of physiological relevance are considered: stagnation point flow
and sudden expansion. Model parameters have been optimized to fit corresponding experimental
data. When platelet adhesion is assumed independent of shear, numerically predicted spatial
platelet distribution does not match these data at all. However, when adhesion is assumed shear
dependent, quite accurate agreement is achieved. Further improvement is obtained when surface
saturation effects are taken into account in the first model. Limitations due to the complexity of
the hemostatic system are discussed, as well as possible applications in practice. The findings of
this talk contribute to understand the role of flow in primary hemostasis, which is of great interest
in bioengineering and clinical practice.
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Fredholm and related properties of partial differential operators on unbounded domains
 Lecturer: prof. Dr. P. J. Rabier Dep. of Mathematics, University od Pittsburgh, USA

Date:
 7/5/07
(15:4017:10)
 9/5/07
(14:0015:30)
 28/5/07
(15:4016:40)
 29/5/07
(09:0010:00)
 30/5/07
(14:0015:00)
 Place: 7.5. & 28.5.  MFF UK, Sokolovska 83, K1
9.5. & 29.5. & 30.5.  Mathematical Institute AS, Zitna 25
 Abstract: This minicourse will discuss the Fredholm and related properties of partial differential operators on unbounded domains and their applications to linear and nonlinear PDEs. The course is divided in 5 lectures, briefly described below. Since most technical details will not be addressed during the lectures due to time limitation, a list of relevant references dealing with such details will be provided with each lecture.
Lecture 1: Degree theory for nonlinear Fredholm mappings of index 0
Lecture 2: Fredholm and properness properties of elliptic operators on R^N
Lecture 3: Nonlinear problems with infinitely many solutions
Lecture 4: Decay transference and applications
Lecture 5: The index of evolution operators
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Selected problems of computational materials modelling
 Lecturer: Prof. Heike Emmerich RWTH Aachen, Germany

Date:
 Place: room 112, Department of Mathematics FJFI CVUT, Trojanova 13, 120 00 Prague 2
 Many desirable properties of a material are determined by its micro struc
ture. Thus contributing to a precise understanding of micro structure evolution
in materials processing is a great challenge to the newly emerging field of compu
tational materials design. From point of view of mathematics this always requires
to solve an intriguing and numerically difficult to handle Stefan problem. During
the last two decades the phase field method could establish itself within the com
putational materials science community to tackle such Stefan problems via an
implicit formulation overcoming their inherent numerical inaccessibility. Moreo
ver, the phase field method is a variational thermodynamic approach making use
of the materials equilibrium phase diagrams and thus allowing to specify concrete
materials system.
Within this talk I will present a brief introduction to the field of phase field
modeling in computational materials modelling and successively discuss some of
the latest issues in the continuing development of this method. I will then focus on
our own contributions to quantitative phase field investigations of micro structure
evolution in multicomponent alloys. Doing so I will pay special emphasis to the
influence of hydrodynamic flow in the molten phase, where a lot of details are
still open in particular in the case of peritectic alloys.
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Numerics and simulations for hyperbolic and convection dominated problems in multi dimensions
 Lecturer: Prof. Dr. Dietmar Kröner Dep. of Applied Mathematics of University Freiburg, Germany

Date:
 21/3/07
(14:0015:00)
 21/3/07
(15:2016:20)
 28/3/07
(16:0017:00)
 Place: Mathematical Institute AS, Zitna 25, lecture room in the building beyond the backyard
 The most important challenges in numerical simulations consists in the development of codes for new problems, in the improvement of the performance of existing codes and its validation. In this lecture I will focus on the second topic. For hyperbolic problems and convection dominated flows through porous media we will demonstrate some tools which are useful for more efficient codes: local grid refinement based on rigorous a posteriori error estimates, artificial boundary conditions for problems in outer domains, higher order schemes, balanced schemes (which I have discussed also in my lectures in Prague in 2006) for problems with source terms and relaxation schemes.
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Penalty methods in optimal control
 Lecturer: Prof. Dr. Ch. Grossmann TU Dresden, Germany

Date:
 Place: K3
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From the Theory of Very Weak Solutions to Regularity of Weak Solutions of the Instationary NavierStokes System
 Lecturer: Prof. Dr. R. Farwig TU Darmstadt, Germany

Date:
 5/3/07
(17:2018:20)
 7/3/07
(14:0015:00)
 7/3/07
(15:2016:20)
 Place: 5.3. MFF UK, Sokolovska 83, lecture room K1; 7.3. Mathematical Institute AS, Zitna 25, lecture room in the building beyond the backyard
 The three lectures deal with the theory of very weak solutions to the stationary and instationary Stokes and NavierStokes equations. Very weak solutions define a new class of solutions with no differentiability and not necessarily finite energy, but with uniqueness properties. The aim of this series of lectures is to apply this theory to questions of regularity of weak solutions of the NavierStokes equations in the sense of LerayHopf and to prove local or even global in time regularity beyond Serrin s condition.
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Fluid dynamics problems on domains with rapidly oscillating boundaries: Is it always optimal when Young measures reduce to Dirac masses?
 Lecturer: prof. Eduard Feireisl Mathematical Institute, AS CR, Prague

Date:
 Place: MFF UK building, Sokolovska 83, lecture room K1, 2nd floor
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Derivation of the ReissnerMindlin plate theory from Gamma convergence
 Lecturer: Dr. Giuseppe Tomassetti University of Rome

Date:
 Place: MFF UK building, Sokolovska 83, lecture room K1, 2nd floor
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Convergence of Adaptive Finite Element Methods for the pLaplace
 Lecturer: Dr. Lars Diening University of Freiburg

Date:
 Place: MFF UK building, Sokolovska 83, lecture room K1, 2nd floor
 Abstract:
We study adaptive finite element methods for the $p$Laplacian
Equation using piecewise linear, continuous functions. The error is
measured by means of the quasinorm of Barrett and Liu. We provide
residual based error estimators without a gap between the upper and
lower bound. We show linear convergence of the algorithm which is
similar to the one of Morin, Nochetto, and Siebert. Moreover, we show
that the algorithm produces (almost) optimal meshes with respect to
the degress of freedom. This extends the results of Stevenson to the
nonlinear case. All results are obtained without extra marking for
the oscillation.
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The capillarity problem for compressible fluids
 Lecturer: Prof. Robert Finn Stanford University

Date:
 Place: MFF UK building, Sokolovska 83, lecture room K1, 2nd floor
 Abstract: Current literature on fluid configurations under capillary attractions generally is based on postulates introduced in 1830 by Gauss. By neglecting bulk energy variations within the fluid, these postulates lead to an essentially geometrical problem. I will present an example indicating that bulk energy terms can indeed be significant, and I will derive and examine the equations obtained by taking account of energy changes imposed by fluid compressibility. The formal character of the mathematical problem then changes, but remains geometrical. Solutions of the new equations share some striking features that occur with the classical equations, but also new exotic behavior appears that was previously not encountered. Experimental tests of the predictions may be feasible.
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A new mathematical foundation for contact interactions in continuum physics
 Lecturer: Prof. Friedemann Schuricht Universitaet zu Koeln

Date:
 Place: MFF UK building, Sokolovska 83, lecture room K1, 2nd floor
 Abstract:
The investigation of contact interactions, such as traction and heat flux, that are exerted by contiguous bodies across the common boundary is a fundamental issue in continuum physics. However, the traditional theory of stress established by Cauchy and extended by Noll and his successors is insufficient for handling the lack of regularity in continuum physics due to shocks, corner singularities, and fracture.
The talk presents a new mathematical foundation for the treatment of contact interactions. Based on mild physically motivated postulates, which differ essentially from those used before, the existence of a corresponding interaction tensor is established. While in earlier treatments contact interactions are basically defined on surfaces, here contact interactions are rigorously considered as maps on pairs of subbodies. This allows the action exerted on a subbody to be defined not only, as usual, for sets with a sufficiently regular boundary, but also for Borel sets (which include all open and all closed sets).
In addition to the classical representation of such interactions by means of integrals on smooth surfaces, a general representation using the distributional divergence of the tensor is derived. In the case where concentrations occur, this new approach allows a more precise description of contact phenomena than before.
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Mathematical Model of Dislocation Dynamics
 Lecturer: V. Minarik

Date:
 Place: MFF UK building, Sokolovska 83, lecture room K1, 2nd floor
 Short presentations by the members and students of the research team 3
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Model of coal combustion in a furnace
 Lecturer: R. Straka

Date:
 Place: MFF UK building, Sokolovska 83, lecture room K1, 2nd floor
 Short presentations by the members and students of the research team 3
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Arbitrary Lagrangian Eulerian (ALE) Method for Laser Plasma Simulations
 Lecturer: R. Liska

Date:
 Place: MFF UK building, Sokolovska 83, lecture room K1, 2nd floor
 Short presentations by the members and students of the research team 3
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Numerical scheme for the Willmore flow
 Lecturer: T. Oberhuber

Date:
 Place: MFF UK building, Sokolovska 83, lecture room K1, 2nd floor
 Short presentations by the members and students of the research team 3
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The Navier Stokes equations with Lagrangian differences
 Lecturer: Prof. Dr. Werner Varnhorn Fachbereich fuer Mathematik und Informatik Universitaet Kassel, Germany

Date:
 20/11/06
(15:4017:00)
 20/11/06
(17:2018:40)
 22/11/06
(15:2016:20)
 Lectures on 20.11. are in the MFF UK building, Sokolovska 83, lecture room K1 and the lecture on 22.11. is in the Mathematical Institute AS, Zitna 25, lecture room in the building beyond the backyard.
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Weak formulation of boundary value problems in magnetohydrodynamics coupled to heat transfer
 Lecturer: Dr. PierreEtienne Druet WIAS Berlin, Germany

Date:
 Place: Mathematical Institute AS, Zitna 25, lecture room in the building beyond the backyard
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Numerical simulation of Czochralski crystal growth
 Lecturer: Dr. Christiane Lechner WIAS Berlin, Germany

Date:
 Place: Mathematical Institute AS, Zitna 25, lecture room in the building beyond the backyard
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Hyperbolic Systems of Conservation Laws: Wellposedness and Qualitative Behavior of the Solutions
 Lecturer: Prof. Konstantina Trivisa

Date:
 Place: MFF UK building, Sokolovska 83, lecture room K1, 2nd floor
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Mathematical issues related to phaseboundary problems
 Lecturer: Professor Daniel Sevcovic
 Date:
from 8/11/06 to
29/11/06
 Every Wednesday 15:2016:20
 Organizers: Necas Center for Mathematical Modeling
 Place: Mathematical Institute AS, Zitna 25, lecture room in the building beyond the backyard
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TBA
 Lecturer: Professor Johannes Zimmer

Date:
 Place: MFF UK building, Sokolovska 83, lecture room K1, 2nd floor
__________________________________________________________________________________________________________________________________________________________________________
Γconvergence and domain dependence of solutions of PDE s
 Lecturer: Prof. Dorin Bucur

Date:
 Place: Mathematical Institute AS, Zitna 25, lecture room in the building beyond the backyard
__________________________________________________________________________________________________________________________________________________________________________
Mathematical issues related to phaseboundary problems
 Lecturer: Professor Daniel Sevcovic
 Date:
from 1/11/06 to
29/11/06
 Every Wednesday 14:0015:00
 Place: Mathematical Institute AS, Zitna 25, lecture room in the building beyond the backyard
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Qualitative theory of semilinear parabolic equations and systems
 Lecturer: Prof. Pavol Quittner

Date:
 1/11/06
(14:0015:00)
 6/11/06
(17:2018:20)
 8/11/06
(16:3017:30)
 13/11/06
(17:2018:20)
 15/11/06
(14:0015:00)
 Lectures on 1.11., 8.11. and 15.11. take place at Mathematical Institute AS, Zitna 25, lecture room in the building beyond the backyard, lectures on 6.11., 13.11. take place
at Mathematical and Physical Faculty, Sokolovska 83, lecture room K1
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Caffareli, Kohn, Nirenberg  a direct proof
 Lecturer: Dr. Jorg Wolf

Date:
 Organizers: J. Malek
 Place: Seminar room K1, Sokolovska 83, 18675 Praha 8
 This nintyminute long lecture will start at 11am.
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Steady flows of compressible gases
 Lecturer: Antonin Novotny and Mark Steinhauer

Date:
 Organizers: M. Benes, E. Feireisl, J. Malek
 Place: FJFI, Trojanova 13, Praha 2, Seminar room 112
 Antonin Novotny: On some existence results for NavierStokes equations for compressible fluids in isentropic regime (15:00  16:00). Mark Steinhauer: On existence results for compressible NavierStokes equations in two dimensions (16:00  17:00)
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Introduction to an areapreserving crystalline curvature flow equation
 Lecturer: Prof. Shigetoshi YAZAKI (University of Miyazaki, Japan)

Date:
 4/9/06
(10:0000:00) speaker1 univ1
 6/9/06
(14:0000:00)
 Organizers: M. Benes
 Place: Place: FJFI, Trojanova 13, Seminar room 112
 This twolecture course has the folowing schedule: September 4 (Monday) at 10.00 am and
September 6(Wednesday) at 2.00 pm.
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Introduction to Parallel Computing (to solve equations)
 Lecturer: Prof. Ing. Miroslav Tuma, CSc.

Date:
 Organizers: M. Lanzendorfer, M. Madlik and J. Malek
 Place: Place: Seminar room K1, Sokolovska 83, Praha 8
 * The course starting at 9am and ending in the afternoon is organized within the project GAUK R/2005/6 of doctoral students.
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Povrchove a transportni jevy v dynamice tekutin
 Lecturer: Prof. R. F. Holub (Department of Physics, Colorado School of Mines, Golden)

Date:
 14/6/06
(14:0000:00)
 19/6/06
(13:3000:00)
 21/6/06
(14:0000:00)
 26/6/06
(13:3000:00)
 Organizers: Doc. Ing. Michal Benes, CSc.
 Place: Place: FJFI, Trojanova 13, Praha 2, Seminar room 112
 1. prednaska streda 14.6. ve 14.00, 2. prednaska pondeli 19.6. v 13.30, 3. prednaska streda 21.6. ve 14.00, 4. prednaska pondeli 26.6. v 13.30.
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