Steady compressible Navier-Stokes-Fourier equations with Dirichlet boundary condition for the temperature

DOI10.1007/s00021-021-00655-2zbMath1492.76094OpenAlexW4206728729MaRDI QIDQ2070476

Publication date: 24 January 2022

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-021-00655-2

zbMATH Keywords

weak solution entropy inequality large data ballistic energy inequality Dirichlet boundary condition for the temperature steady compressible Navier-Stokes-Fourier equations

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (1)

On weak (measure valued)-strong uniqueness for Navier-Stokes-Fourier system with Dirichlet boundary condition

Cites Work

Unnamed Item
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Mathematical theory of compressible viscous fluids. Analysis and numerics
Dissipative measure-valued solutions to the compressible Navier-Stokes system
Steady compressible Navier-Stokes-Fourier system for monoatomic gas and its generalizations
The Dirichlet problem for steady viscous compressible flow in three dimensions
Compressible Navier-Stokes equations with a non-monotone pressure law
The Dirichlet problem for viscous compressible isothermal Navier-Stokes equations in two dimensions
On compactness, domain dependence and existence of steady state solutions to compressible isothermal Navier-Stokes equations
On the steady compressible Navier-Stokes-Fourier system
On an inhomogeneous slip-inflow boundary value problem for a steady flow of a viscous compressible fluid in a cylindrical domain
Navier-Stokes equations for compressible fluids: Global existence and qualitative properties of the solutions in the general case
An $L^ p$-theory for the $n$-dimensional, stationary, compressible Navier-Stokes equations, and the incompressible limit for compressible fluids. The equilibrium solutions
The initial value problem for the equations of motion of viscous and heat-conductive gases
$L^ p$-approach to steady flows of viscous compressible fluids in exterior domains
Global existence of weak solutions for compressible Navier-Stokes equations: thermodynamically unstable pressure and anisotropic viscous stress tensor
Relative entropies, suitable weak solutions, and weak-strong uniqueness for the compressible Navier-Stokes system
Existence of renormalized weak solutions to the steady equations describing compressible fluids in barotropic regime
Weak-strong uniqueness property for the full Navier-Stokes-Fourier system
On the isothermal compressible multi-component mixture flow: the local existence and maximal $L_p-L_q$ regularity of solutions
On the maximal $L_{p}-L_{q}$ regularity of solutions to a general linear parabolic system
Existence of strong solutions to the steady Navier-Stokes equations for a compressible heat-conductive fluid with large forces
Steady 3D viscous compressible flows with adiabatic exponent $\gamma \in(1, \infty)$
Strong solutions to the Navier-Stokes-Fourier system with slip-inflow boundary conditions
Global existence of solutions of the Dirichlet problem for the compressible Navier-Stokes equations
Weak and Variational Solutions to Steady Equations for Compressible Heat Conducting Fluids
On a new approach to the issue of existence and regularity for the steady compressible Navier–Stokes equations
On Strong Dynamics of Compressible Two-Component Mixture Flow
On the $\mathcal{R}$-Sectoriality and the Initial Boundary Value Problem for the Viscous Compressible Fluid Flow
STEADY NAVIER–STOKES–FOURIER SYSTEM WITH SLIP BOUNDARY CONDITIONS
Le problème de Cauchy pour les équations différentielles d'un fluide général
Singular limits in thermodynamics of viscous fluids
Physically reasonable solutions to steady compressible Navier-Stokes equations in 2D exterior domains with nonzero velocity at infinity
On the existence of globally defined weak solutions to the Navier-Stokes equations

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