Extension of the Hoff solutions framework to cover Navier-Stokes equations for a compressible fluid with anisotropic viscous-stress tensor

DOI10.1512/iumj.2023.72.9559zbMath1530.35207arXiv2109.06498MaRDI QIDQ6186735

Cosmin Burtea, Bresch, Didier

Publication date: 10 January 2024

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.06498

zbMATH Keywords

Navier-Stokes equationscompressible fluidsintermediate regularityanisotropic viscous-stress tensorHoff solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A multi-fluid compressible system as the limit of weak solutions of the isentropic compressible Navier-Stokes equations
• Solvability of the initial-boundary-value problem for the equations of motion of a viscous compressible fluid
• Global existence in critical spaces for compressible Navier-Stokes equations
• Global existence of weak solutions for compressible Navier-Stokes equations: thermodynamically unstable pressure and anisotropic viscous stress tensor
• Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
• Global existence of weak solutions for the anisotropic compressible Stokes system
• Weak solutions for the stationary anisotropic and nonlocal compressible Navier-Stokes system
• On the solvability of the compressible Navier–Stokes system in bounded domains
• Global Existence for 1D, Compressible, Isentropic Navier-Stokes Equations with Large Initial Data
• Regularity of weak solutions of the compressible isentropic navier-stokes equations
• Dynamics of singularity surfaces for compressible, viscous flows in two space dimensions
• Compressible Navier–Stokes equations with heterogeneous pressure laws
• Le problème de Cauchy pour les équations différentielles d'un fluide général
• On the existence of globally defined weak solutions to the Navier-Stokes equations

This page was built for publication: Extension of the Hoff solutions framework to cover Navier-Stokes equations for a compressible fluid with anisotropic viscous-stress tensor