Convergence rates toward the travelling waves for a model system of the radiating gas

DOI10.1002/mma.800zbMath1120.35022OpenAlexW2013891128MaRDI QIDQ5293185

Masataka Nishikawa, Shinya Nishibata

Publication date: 26 June 2007

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.800

zbMATH Keywords

asymptotic stabilityconvergence rateshock waveinitial-value problempolytropic gasenergy methodstravelling wave solutionshyperbolic-elliptic system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (9)

Planar Stationary Solution to Outflow Problem for Compressible Heat Conducting Gas in \(\mathbb{R}^3_+\): Stability and Convergence Rate ⋮ Asymptotic stability of travelling wave to a hyperbolic-elliptic coupled system of the radiating gas on half line ⋮ Convergence rates to the planar stationary solution to a 2D model of the radiating gas on half space ⋮ Unnamed Item ⋮ The initial value problem for a multi-dimensional radiation hydrodynamics model with viscosity ⋮ Asymptotic stability of viscous contact wave for the inflow problem of the one-dimensional radiative Euler equations ⋮ Asymptotic stability of a composite wave of two viscous shock waves for the one-dimensional radiative Euler equations ⋮ Energy method for multi-dimensional balance laws with non-local dissipation ⋮ The pointwise estimates of solutions for a model system of the radiating gas in multi-dimensions

Cites Work

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