Decay rates to viscous contact waves for the compressible Navier-Stokes equations

DOI10.1063/1.4938574zbMath1351.35105OpenAlexW2234690879MaRDI QIDQ2795511

Shixiang Ma, Jing Wang

Publication date: 21 March 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4938574

zbMATH Keywords

asymptotic behaviora priori estimatesRiemann problemcompressible Navier-Stokes equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Initial value problems for first-order hyperbolic systems (35L45) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items

Nonlinear stability of rarefaction waves for the compressible Navier-Stokes equations with zero heat conductivity ⋮ Decay rate to contact discontinuities for the one-dimensional compressible Navier–Stokes equations with a reacting mixture ⋮ Decay rate to contact discontinuities for the one-dimensional compressible Euler-Fourier system with a reacting mixture ⋮ Nonlinear stability of rarefaction waves to the compressible Navier-Stokes equations for a reacting mixture with zero heat conductivity ⋮ Asymptotic stability of a composite wave to the one-dimensional compressible Navier-Stokes equations for a reacting mixture ⋮ Asymptotic stability of viscous contact wave and rarefaction waves for the system of heat-conductive ideal gas without viscosity ⋮ Asymptotic stability of a composite wave for the one-dimensional compressible micropolar fluid model without viscosity

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlinear stability of combination of viscous contact wave with rarefaction waves for a 1D radiation hydrodynamics model
• Asymptotic stability of viscous contact wave for the 1D radiation hydrodynamics system
• Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion
• Viscous limit to contact discontinuity for the 1-D compressible Navier-Stokes equations
• Stability of contact discontinuities for the 1-D compressible Navier-Stokes equations
• Contact discontinuity with general perturbations for gas motions
• 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
• Nonlinear stability of viscous shock waves
• Pointwise decay to contact discontinuities for systems of viscous conservation laws
• Nonlinear diffusive phenomena of nonlinear hyperbolic systems
• On the stability of contact discontinuity for compressible Navier-Stokes equations with free boundary
• Nonlinear stability of rarefaction waves for compressible Navier-Stokes equations
• Stability of rarefaction waves in viscous media
• Asymptotic stability of a composite wave of two viscous shock waves for a one-dimensional system of non-viscous and heat-conductive ideal gas
• A class of similarity solutions of the nonlinear diffusion equation
• Nonlinear stability of shock waves for viscous conservation laws
• DECAY RATES TO VISCOUS CONTACT WAVES FOR A 1D COMPRESSIBLE RADIATION HYDRODYNAMICS MODEL
• Asymptotic stability of contact waves for the compressible Navier–Stokes equations