Keywords:
- Anelastic approximation
- Compressible fluids
- Compressible Navier-Stokes-Fourier system
- Global existence
- inhomogeneous boundary conditions
- Low Froude number
- Low Mach number
- low Mach number limit
- Navier-Stokes-Fourier system
- Navier’s slip boundary conditions
- Navier–Stokes equations
- Oberbeck-Boussinesq ap- proximation
- Singular limits
- weak solution
Publications of Novotný, Antonín
2020
2017
| and , Stationary solutions to the compressible Navier-Stokes system with general boundary conditions, 2017 |
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2016
| and , Derivation of Equations for Continuum Mechanics and Thermodynamics of Fluids, in: Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, Springer International Publishing, 2016 |
[DOI] |
2014
| , and , A regularity criterion for the weak solutions to the Navier–Stokes–Fourier system (2014), in: Archive for Rational Mechanics and Analysis, 212:1(219–239) |
[DOI] |
| and , Multiple scales and singular limits for compressible rotating fluids with general initial data (2014), in: Communications in Partial Differential Equations, 39:6(1104–1127) |
[DOI] |
| , and , Rotating compressible fluids under strong stratification (2014), in: Nonlinear Analysis: Real World Applications, 19(11–18) |
[DOI] |
| and , Scale interactions in compressible rotating fluids (2014), in: Annali di Matematica Pura ed Applicata, 193:6(1703–1725) |
[DOI] |
2012
| , , 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 , 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 , Homogenization and singular limits for the complete Navier-Stokes-Fourier system (2010), in: Journal de Mathématiques Pures et Appliquées, 94(33-57) |
[DOI] [URL] |
| , and , Low Mach number limit for the Navier-Stokes system on unbounded domains under strong stratification (2010), in: Communications in Partial Differential Equations:35(68-88) |
[URL] |
| , and , On incompressible limits for the Navier-Stokes system on unbounded domains under slip boundary conditions (2010), in: Discrete and Continuous Dynamical Systems - Series B, 13:4(783 - 798) |
[DOI] [URL] |
2009
| and , Singular Limits in Thermodynamics of Viscous Fluids, Birkhäuser Basel, Advances in Mathematical Fluid Mechanics, 2009 |
[DOI] [URL] |
| and , Small Peclet number approximation as a singular limit of the full Navier-Stokes-Fourier system with radiation, pages 123-152, Birkhauser, Basel, volume In New directions in Mathematical Fluid Mechanics, A.V. Fursikov, G.P. Galdi, 2009 |
2008
| , , and , Anelastic approximation as a singular limit of the compressible Navier-Stokes system (2008), in: Communications in Partial Differential Equations, 33:1-3(157--176) |
[DOI] [URL] |
| , and , Layered incompressible fluid flow equations in the limit of low Mach number and strong stratification (2008), in: Physica D. Nonlinear Phenomena, 237:10-12(1466--1487) |
[URL] |
| , and , Navier´s slip and incompressible limits in domains with variable bottoms (2008), in: Discrete and Continuous Dynamical Systems - Series S, 1:3(427-460) |
[DOI] [URL] |
| and , On weak solutions of steady Navier-Stokes equations for monatomic gas (2008), in: Comment. Math. Univ. Carolin., 49:4(611--632) |
[URL] |