Zero dissipation limit to rarefaction waves for the one‐dimensional navier‐stokes equations of compressible isentropic gases
From MaRDI portal
Publication:4291716
DOI10.1002/cpa.3160460502zbMath0804.35108OpenAlexW2070554451MaRDI QIDQ4291716
Publication date: 2 June 1994
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/cpa.3160460502
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (56)
Global Stability of Strong Rarefaction Waves of the Jin–Xin Relaxation Model for thep-System ⋮ Convergence to the rarefaction wave for a model of radiating gas in one-dimension ⋮ Vanishing dissipation limit to the planar rarefaction wave for the three-dimensional compressible Navier-Stokes-Fourier equations ⋮ Nonlinear stability of rarefaction waves for the compressible Navier-Stokes equations with zero heat conductivity ⋮ Vanishing viscosity and Debye-length limit to rarefaction wave with vacuum for the 1D bipolar Navier-Stokes-Poisson equation ⋮ Zero dissipation limit to rarefaction waves for the one-dimensional compressible Navier-Stokes equations with selected density-dependent viscosity ⋮ Global stability of strong rarefaction waves for the generalized KdV-Burgers equation ⋮ Zero-viscosity-capillarity limit to the planar rarefaction wave for the 2D compressible Navier-Stokes-Korteweg equations ⋮ Stability of rarefaction waves for 1-D compressible viscous micropolar fluid model ⋮ Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional full compressible Navier-Stokes equations ⋮ Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional compressible Navier-Stokes equations ⋮ Zero dissipation limit to a rarefaction wave with a vacuum for a compressible, heat conducting reacting mixture ⋮ Decay rate to contact discontinuities for the 1-d compressible Navier-Stokes system ⋮ Vanishing viscosity limit to rarefaction wave with vacuum for an ionized plasma ⋮ Vanishing Viscosity Limit to Planar Rarefaction Wave with Vacuum for 3D Compressible Navier-Stokes Equations ⋮ Interface behavior and decay rates of compressible Navier-Stokes system with density-dependent viscosity and a vacuum ⋮ Viscous limits of the compressible Navier–Stokes equations to piecewise smooth solutions with two interacting out-going shocks ⋮ Zero‐viscosity‐capillarity limit towards rarefaction wave for the full Navier–Stokes–Korteweg system of compressible fluids ⋮ Zero relaxation limit to centered rarefaction waves for Jin-Xin relaxation system ⋮ The Jin-Xin relaxation approximation of scalar conservation laws in several dimensions with large initial perturbation ⋮ Diffusive wave in the low Mach limit for non-viscous and heat-conductive gas ⋮ Zero dissipation limit to rarefaction wave with vacuum for the one-dimensional non-isentropic micropolar equations ⋮ Zero dissipation limit to a Riemann solution consisting of two shock waves for the 1D compressible isentropic Navier-Stokes equations ⋮ Viscous limit to contact discontinuity for the 1-D compressible Navier-Stokes equations ⋮ Zero-viscosity–capillarity limit toward rarefaction wave with vacuum for the Navier–Stokes–Korteweg equations of compressible fluids ⋮ Vanishing viscosity limit to rarefaction waves for the full compressible fluid models of Korteweg type ⋮ Stability of planar rarefaction waves under general viscosity perturbation of the isentropic Euler system ⋮ Asymptotic stability of rarefaction waves to a radiation hydrodynamic limit model ⋮ Zero dissipation limit to rarefaction waves for the 1-D compressible Navier-Stokes equations ⋮ Viscous limits for piecewise smooth solutions to systems of conservation laws ⋮ Viscous limits for piecewise smooth solutions of the \(p\)-system ⋮ Nonlinear stability of strong rarefaction waves for the generalized KdV-Burgers-Kuramoto equation with large initial perturbation ⋮ Convergence to the superposition of rarefaction waves and contact discontinuity for the 1-D compressible Navier-Stokes-Korteweg system ⋮ Hydrodynamic limit of the Boltzmann equation with contact discontinuities ⋮ Convergence to rarefaction waves for the nonlinear Boltzmann equation and compressible Navier-Stokes equations ⋮ Vanishing viscosity limit of the compressible Navier-Stokes equations for solutions to a Riemann problem ⋮ Nonlinear stability of rarefaction waves for the compressible Navier-Stokes equations with large initial perturbation ⋮ A case study of global stability of strong rarefaction waves for \(2\times 2\) hyperbolic conservation laws with artificial viscosity ⋮ The stability of rarefaction wave for Navier-Stokes equations in the half-line ⋮ Small Knudsen rate of convergence to rarefaction wave for the Landau equation ⋮ Zero dissipation limit to rarefaction wave with vacuum for a one-dimensional compressible non-Newtonian fluid ⋮ Vanishing viscosity of isentropic Navier-Stokes equations for interacting shocks ⋮ Hydrodynamic Limit of the Boltzmann Equation to the Planar Rarefaction Wave in Three Dimensional Space ⋮ Stability of boundary layer and rarefaction wave to an outflow problem for compressible Navier-Stokes equations under large perturbation ⋮ Vanishing viscosity limit of the compressible Navier-Stokes equations with finite energy and total mass ⋮ Vanishing Viscosity Limit of the Compressible Navier--Stokes Equations with General Pressure Law ⋮ The inviscid limits to piecewise smooth solutions for a general parabolic system ⋮ Fluid dynamic limit to rarefaction wave for the Boltzmann equation ⋮ Zero dissipation limit to strong contact discontinuity for the 1-D compressible Navier-Stokes equations ⋮ The limit to rarefaction wave with vacuum for 1D compressible fluids with temperature-dependent transport coefficients ⋮ Zero‐viscosity‐capillarity limit to rarefaction waves for the 1D compressible Navier–Stokes–Korteweg equations ⋮ Vanishing viscosity in the Navier–Stokes equations of compressible heat-conducting flows with the spherical symmetry ⋮ Zero relaxation limit to centered rarefaction waves for a rate-type viscoelastic system ⋮ Zero dissipation limit to rarefaction waves for the \(p\)-system ⋮ Stability of viscous contact wave for compressible Navier-Stokes equations with a large initial perturbation ⋮ Global solutions of the compressible Euler equations with large initial data of spherical symmetry and positive far-field density
Cites Work
This page was built for publication: Zero dissipation limit to rarefaction waves for the one‐dimensional navier‐stokes equations of compressible isentropic gases