Keywords:
- Buoyancy force
- Compressible Navier-Stokes-Fourier system
- existence and regularity of the solution
- global regularity
- Heat conducting Newtonian fluid
- Incompressible Navier–Stokes equations
- regularity criteria.
- Reverse Hölder inequality
- slip boundary conditions
- steady compressible Navier--Stokes equations
- Steady problem
- weak solution
Publications of Pokorný, Milan
2017
| , and , Existence analysis for incompressible fluid model of electrically charged chemically reacting and heat conducting mixtures (2017), in: SIAM J. Math. Anal., 49:5(3776--3830) |
[DOI] |
| , Stead equations describing flow of chemically reacting heat conducting compressible mixtures, 2017 |
[URL] |
2014
| and , A generalization of some regularity criteria to the Navier-Stokes equations involving one velocity component, 2014 |
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2012
| , and , On the existence of weak solutions to the equations of steady flow of heat-conducting fluids with dissipative heating (2012), in: Nonlinear Analysis: Real World Applications, 13:4(1600--1620) |
[DOI] [URL] |
| , and , Remarks on regularity criteria for axially symmetric weak solutions to the Navier–Stokes equations (2012), in: Mathematical Methods in the Applied Sciences, 35:3(360--371) |
[DOI] [URL] |
| , , and , Time-Periodic solutions to the full Navier–Stokes–Fourier system (2012), in: Archive for Rational Mechanics and Analysis, 204:3(745–786) |
[DOI] [URL] |
2011
| and , On anisotropic regularity criteria for the solutions to 3D Navier--Stokes equations (2011), in: J. Math. Fluid Mech., 13:3(341--353) |
[DOI] [URL] |
| , On the steady solutions to a model of compressible heat conducting fluid in two space dimensions (2011), in: J. Part. Diff. Eq., 24:4(334--350) |
[URL] |
| and , Steady compressible Navier--Stokes--Fourier system for monoatomic gas and its generalizations (2011), in: Journal of Differential Equations, 251:2(270--315) |
[DOI] [URL] |
| and , Weak and variational solutions to steady equations for compressible heat conducting fluids (2011), in: SIAM J. Math. Anal., 43:3(1158--1188) |
[DOI] [URL] |
| and , Weak solutions for steady compressible Navier--Stokes--Fourier system in two space dimensions (2011), in: Applications of Mathematics, 56:1(137--160) |
[DOI] [URL] |
2010
| and , On the local strong solutions for the FENE dumbbell model (2010), in: Discrete and Continuous Dynamical Systems - Series S, 3(311-324) |
[DOI] [URL] |
| and , On the regularity to the solutions of the Navier--Stokes equations via one velocity component (2010), in: Nonlinearity, 23:5(1097--1107) |
[DOI] [URL] |
| and , Steady compressible Navier-Stokes-Fourier system in two space dimensions (2010), in: Comment. Math. Univ. Carolin., 51:4(453--479) |
[URL] |
| and , Weak solutions to equations of steady compressible heat conducting fluids (2010), in: Mathematical Models and Methods in Applied Sciences, 20:5(785-813) |
[DOI] [URL] |
2009
| and , On a regularity criterion for the Navier-Stokes equations involving gradient of one velocity component (2009), in: Journal of Mathematical Physics, 50:12(123514 - 123525) |
[DOI] [URL] |
| and , On the local strong solutions for a system describing the flow of a viscoelastic fluid, pages 196-205, 2009 |
[URL] |
| and , On the steady compressible Navier-Stokes-Fourier system (2009), in: Communications in Mathematical Physics, 288:1(349--377) |
[DOI] [URL] |
2008
| and , 3D steady compressible Navier-Stokes equations (2008), in: Discrete and Continuous Dynamical Systems - Series S, 1:1(151--163) |
[DOI] [URL] |
2007
| and , A regularity criterion for the angular velocity component in axisymmetric Navier-Stokes equations (2007), in: Electron. J. Differential Equations(No. 08, 10 pp. (electronic)) |
[URL] |