Global existence of weak solutions for compresssible Navier-Stokes-Fourier equations with the truncated virial pressure law

DOI10.2478/caim-2023-0002zbMath1527.76059arXiv2305.07149MaRDI QIDQ6111714

Pierre-Emmanuel Jabin, Bresch, Didier, Fei Wang

Publication date: 4 August 2023

Published in: Communications in Applied and Industrial Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.07149

zbMATH Keywords

heat conductioniterative schemeperiodic boundary conditionfixed point methodvacuum statenon-monotone pressure

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Compressible Navier-Stokes equations (76N06)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mathematical theory of compressible viscous fluids. Analysis and numerics
• Compressible Navier-Stokes equations with a non-monotone pressure law
• Ordinary differential equations, transport theory and Sobolev spaces
• Global existence of weak solutions for compressible Navier-Stokes equations: thermodynamically unstable pressure and anisotropic viscous stress tensor
• Quantitative regularity estimates for compressible transport equations
• Compressible Navier–Stokes equations with heterogeneous pressure laws
• Isothermal Navier--Stokes Equations and Radon Transform
• Singular limits in thermodynamics of viscous fluids
• On the existence of globally defined weak solutions to the Navier-Stokes equations

This page was built for publication: Global existence of weak solutions for compresssible Navier-Stokes-Fourier equations with the truncated virial pressure law