On the existence of global weak solutions to the Navier-Stokes equations for viscous compressible and heat conducting fluids
type: Item
instance of: scholarly article
title: On the existence of global weak solutions to the Navier-Stokes equations for viscous compressible and heat conducting fluids
zbMATH Open document ID: 1122.35092
author: B. Desjardins
author: Didier Bresch
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 2007-03-15T00:00:00Z
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 35D05
zbMATH DE Number: 5134243
zbMATH Keywords: compressible Navier-Stokes equations
zbMATH Keywords: thermal conduction
zbMATH Keywords: global weak solutions
MaRDI profile type: Publication
full work available at URL: j.matpur.2006.11.001
OpenAlex ID: W2024482949
cites work: Incompressible limit of the nonisentropic Euler equations with the solid wall boundary conditions
cites work: Low Mach number limit of the full Navier-Stokes equations
cites work: The existence of global generalized solutions of the equations of one-dimensional motion of a real viscous gas with discontinuous data
cites work: DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
cites work: Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model
cites work: Some diffusive capillary models of Korteweg type
cites work: On the construction of approximate solutions for the 2D viscous shallow water model and for compressible Navier-Stokes models
cites work: On compressible Navier-Stokes equations with density dependent viscosities in bounded domains
cites work: Low Mach Number Limit of Viscous Polytropic Flows: Formal Asymptotics in the Periodic Case
cites work: Partial regularity of suitable weak solutions of the navier-stokes equations
cites work: Remarques sur l’Existence Globale Pour le Système de Navier–Stokes Incompressible
cites work: Q4320405
cites work: Q4285024
cites work: Global existence in critical spaces for flows of compressible viscous and heat-conductive gases
cites work: On Weak Solutions for Fluid‐Rigid Structure Interaction: Compressible and Incompressible Models
cites work: Low Mach number limit of viscous compressible flows in the whole space
cites work: Incompressible limit for solutions of the isentropic Navier-Stokes equations with Dirichlet boundary conditions
cites work: Theory of multicomponent fluids
cites work: The low Mach number limit for the full Navier-Stokes-Fourier system
cites work: On the existence of globally defined weak solutions to the Navier-Stokes equations
cites work: Q5702675
cites work: Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
cites work: On the Navier-Stokes initial value problem. I
cites work: Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation
cites work: Discontinuous solutions of the Navier-Stokes equations for multidimensional flows of heat-conducting fluids
cites work: Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
cites work: Strong convergence to global solutions for multidimensional flows of compressible, viscous fluids with polytropic equations of state and discontinuous initial data
cites work: The Failure of Continuous Dependence on Initial data for the Navier–Stokes equations of Compressible Flow
cites work: Global Smooth Solutions of the Equations of a Viscous, Heat - Conducting, One - Dimensional Gas with Density - Dependent Viscosity
cites work: Global weak solutions to 1D compressible isentropic Navier-Stokes equations with density-dependent viscosity
cites work: The equation of potential flows of a compressible viscous fluid at small Reynolds numbers: Existence, uniqueness, and stabilization of solutions
cites work: Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas
cites work: Q5576913
cites work: Q3142937
cites work: Q4389323
cites work: Vacuum states for compressible flow
cites work: Q4937920
cites work: Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
cites work: On the Barotropic Compressible Navier–Stokes Equations
cites work: The incompressible limit of the non-isentropic Euler equations
cites work: Q3159147
cites work: Estimates for solutions of nonstationary Navier-Stokes equations
cites work: Navier-Stokes equations for compressible fluids: Global existence and qualitative properties of the solutions in the general case
cites work: On existence of global solutions to the two-dimensional Navier-Stokes equations for a compressible viscous fluid
cites work: Global solution to the equations of viscous gas flows
cites work: Some recent results on compressible flow with vacuum
DOI: 10.1016/J.MATPUR.2006.11.001
description: scientific article; zbMATH DE number 5134243