On the stability of contact discontinuity for Cauchy problem of compress Navier-Stokes equations with general initial data

DOI10.1007/s11425-012-4441-8zbMath1261.35113OpenAlexW2253569939MaRDI QIDQ1933995

Jun Ning Zhao, Ting-Ting Zheng

Publication date: 28 January 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-012-4441-8

zbMATH Keywords

weak solutionlarge-time behaviorcompressible N-S equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Navier-Stokes equations (35Q30)

Related Items

Nonlinear instability for nonhomogeneous incompressible viscous fluids ⋮ Stability of a strong viscous contact discontinuity in a free boundary problem for compressible Navier-Stokes equations ⋮ Zero dissipation limit to a Riemann solution consisting of two shock waves for the 1D compressible isentropic Navier-Stokes equations

Cites Work

• Unnamed Item
• Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion
• Asymptotic behavior of solutions for the equations of a viscous heat- conductive gas
• Stability of contact discontinuities for the 1-D compressible Navier-Stokes equations
• Asymptotic stability of nonlinear wave for the compressible Navier-Stokes equations in the half space
• Contact discontinuity with general perturbations for gas motions
• A blow-up criterion for classical solutions to the compressible Navier-Stokes equations
• Asymptotic stability of combination of viscous contact wave with rarefaction waves for one-dimensional compressible Navier-Stokes system
• Nonlinear asymptotic stability of viscous shock profiles for conservation laws
• Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas
• Nonlinear stability of viscous shock waves
• Pointwise decay to contact discontinuities for systems of viscous conservation laws
• Asymptotic stability of the stationary solution to the compressible Navier-Stokes equations in the half space
• On the stability of contact discontinuity for compressible Navier-Stokes equations with free boundary
• Stability of rarefaction waves in viscous media
• On the global stability of contact discontinuity for compressible Navier-Stokes equations
• Nonlinear stability of shock waves for viscous conservation laws
• On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas
• Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas
• Nonlinear Stability of Strong Rarefaction Waves for Compressible Navier--Stokes Equations