Relative entropy for compressible Navier-Stokes equations with density-dependent viscosities and applications

DOI10.1016/j.crma.2015.10.003zbMath1336.35274arXiv1504.06882OpenAlexW2901703973MaRDI QIDQ282704

Pascal Noble, Jean-Paul Vila, Bresch, Didier

Publication date: 12 May 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.06882

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (7)

Relaxation Limit and Initial-Layers for a Class of Hyperbolic-Parabolic Systems ⋮ On Navier-Stokes-Korteweg and Euler-Korteweg systems: application to quantum fluids models ⋮ Inviscid limit for the compressible Navier-Stokes equations with density dependent viscosity ⋮ Relative entropy for compressible Navier-Stokes equations with density dependent viscosities and various applications ⋮ High Mach number limit for Korteweg fluids with density dependent viscosity ⋮ Global existence of finite energy weak solutions to the quantum Navier-Stokes equations with non-trivial far-field behavior ⋮ Asymptotic analysis for a Vlasov–Fokker–Planck/Navier–Stokes system in a bounded domain

Cites Work

• Two-velocity hydrodynamics in fluid mechanics. I. Well posedness for zero Mach number systems
• Some diffusive capillary models of Korteweg type
• Relative entropies, suitable weak solutions, and weak-strong uniqueness for the compressible Navier-Stokes system
• On the inviscid limit for the compressible Navier-Stokes system in an impermeable bounded domain
• Relative entropy for compressible Navier-Stokes equations with density dependent viscosities and various applications
• Singular limits in thermodynamics of viscous fluids

This page was built for publication: Relative entropy for compressible Navier-Stokes equations with density-dependent viscosities and applications