Asymptotic stability of viscous contact wave to a radiation hydrodynamic limit model

DOI10.1016/J.NONRWA.2023.103950zbMath1521.35032OpenAlexW4383336753MaRDI QIDQ6171350

Kaiqiang Li, Lili Fan

Publication date: 11 August 2023

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2023.103950

zbMATH Keywords

energy methodLagrangian coordinatesviscous contact waveequilibrium diffusion limit equationsnon-viscosity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convergence to the rarefaction wave for a model of radiating gas in one-dimension
• Asymptotic stability of viscous contact wave for the 1D radiation hydrodynamics system
• Stability of contact discontinuities for the 1-D compressible Navier-Stokes equations
• Nonlinear stability of rarefaction waves for a viscous radiative and reactive gas with large initial perturbation
• Global solution to the one-dimensional equations for a self-gravitating viscous radiative and reactive gas
• Decay rates to the planar rarefaction waves for a model system of the radiating gas in \(n\) dimensions
• Asymptotic stability of combination of viscous contact wave with rarefaction waves for one-dimensional compressible Navier-Stokes system
• Stability of boundary layer and rarefaction wave to an outflow problem for compressible Navier-Stokes equations under large perturbation
• Nonlinear diffusive phenomena of nonlinear hyperbolic systems
• Stability of planar rarefaction wave to 3D full compressible Navier-Stokes equations
• Global existence and large-time behavior of solutions to the Cauchy problem of one-dimensional viscous radiative and reactive gas
• Asymptotic stability of a composite wave of two viscous shock waves for the one-dimensional radiative Euler equations
• Asymptotic stability of rarefaction waves to a radiation hydrodynamic limit model
• Asymptotic stability of viscous contact wave for the inflow problem of the one-dimensional radiative Euler equations
• Decay rates to viscous contact wave for the one-dimensional compressible Navier-Stokes equations with radiation
• Decay rate to contact discontinuities for the 1-d compressible Navier-Stokes system
• Asymptotic stability of a composite wave of two viscous shock waves for a one-dimensional system of non-viscous and heat-conductive ideal gas
• Stability of a composite wave of two viscous shock waves for the full compressible Navier-Stokes equation
• A singular limit for hyperbolic-elliptic coupled systems in radiation hydrodynamics
• Global solvability and asymptotic behavior of a free boundary problem for the one-dimensional viscous radiative and reactive gas
• Singular Limit to Strong Contact Discontinuity for a 1D Compressible Radiation Hydrodynamics Model
• ASYMPTOTIC DECAY TOWARD THE PLANAR RAREFACTION WAVES FOR A MODEL SYSTEM OF THE RADIATING GAS IN TWO DIMENSIONS
• A class of similarity solutions of the nonlinear diffusion equation
• Stability of Planar Rarefaction Wave to Two-Dimensional Compressible Navier--Stokes Equations
• DECAY RATES TO VISCOUS CONTACT WAVES FOR A 1D COMPRESSIBLE RADIATION HYDRODYNAMICS MODEL

This page was built for publication: Asymptotic stability of viscous contact wave to a radiation hydrodynamic limit model