Convergence rates towards the traveling waves for a model system of radiating gas with discontinuities

DOI10.3934/krm.2012.5.857zbMath1262.35043OpenAlexW2329419219MaRDI QIDQ1940949

Masashi Ohnawa

Publication date: 11 March 2013

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/krm.2012.5.857

zbMATH Keywords

asymptotic stabilityshock waveweighted energy methoddiscontinuous solutionhyperbolic-elliptic coupled system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Gas dynamics (general theory) (76N15) A priori estimates in context of PDEs (35B45)

Related Items (5)

$$L^\infty $$ L ∞ -Stability of Discontinuous Traveling Waves in a Radiating Gas Model ⋮ Asymptotic stability of travelling wave to a hyperbolic-elliptic coupled system of the radiating gas on half line ⋮ 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 ⋮ $L^\infty$-stability of Discontinuous Traveling Waves in a Hyperbolic-Elliptic Coupled System

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