Asymptotic behavior of solutions for the equations of a viscous heat- conductive gas

DOI10.3792/pjaa.62.249zbMath0624.76097OpenAlexW1996378947MaRDI QIDQ579084

Kenji Nishihara, Akitaka Matsumura, Shuichi Kawashima

Publication date: 1986

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.62.249

zbMATH Keywords

asymptotic behaviorinitial value problemRiemann probleminviscid equationssmooth traveling waves with shock profileviscous heat-conductive gas

Mathematics Subject Classification ID

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contact discontinuity for Cauchy problem of compress Navier-Stokes equations with general initial data ⋮ Asymptotic stability of rarefaction waves for hyperbolized compressible Navier-Stokes equations ⋮ Decay rate to contact discontinuities for the 1-d compressible Navier-Stokes system ⋮ Stability of a strong viscous contact discontinuity in a free boundary problem for compressible Navier-Stokes equations ⋮ Nonlinear stability of rarefaction waves for the compressible MHD equations ⋮ Asymptotic stability of rarefaction wave for a blood flow model ⋮ The Jin-Xin relaxation approximation of scalar conservation laws in several dimensions with large initial perturbation ⋮ Asymptotic stability of strong rarefaction waves for the compressible fluid models of Korteweg type ⋮ Asymptotic stability of viscous contact discontinuity to an inflow problem for compressible Navier-Stokes equations ⋮ Asymptotic stability of planar rarefaction wave to 3D radiative hydrodynamics ⋮ Vanishing viscosity 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equations with a large initial perturbation ⋮ Asymptotic behavior of solutions to the full compressible Navier-Stokes-Korteweg equations in the half space ⋮ Asymptotic stability of the combination of a viscous contact wave with two rarefaction waves for 1-D Navier-Stokes equations under periodic perturbations ⋮ Stability of contact discontinuities for the 1-D compressible Navier-Stokes equations

Cites Work

• Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion
• On the equations of one-dimensional motion of compressible viscous fluids
• Hyperbolic systems of conservation laws II
• 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
• Shock waves for compressible navier‐stokes equations are stable

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