Stability of Scalar Radiative Shock Profiles

DOI10.1137/09076026XzbMath1218.35031arXiv0905.4448OpenAlexW1983794099MaRDI QIDQ3066238

Corrado Lattanzia, Kevin Zumbrun, Ramón G. Plaza, Corrado Mascia, Toan T. Nguyen

Publication date: 10 January 2011

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.4448

zbMATH Keywords

Evans functionpointwise Green function boundshyperbolic-elliptic coupled systemsnonlinear orbital asymptotic stability

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Gas dynamics (general theory) (76N15) Green's functions for ordinary differential equations (34B27)

Related Items (12)

$$L^\infty $$ L ∞ -Stability of Discontinuous Traveling Waves in a Radiating Gas Model ⋮ Decay of a model system of radiating gas ⋮ Asymptotic Stability of Shock Wave for the Outflow Problem Governed by the One-Dimensional Radiative Euler Equations ⋮ Convergence rates to the planar stationary solution to a 2D model of the radiating gas on half space ⋮ A Note on Asymptotic Stability of Rarefaction Wave of the Impermeable Problem for Radiative Euler Flows ⋮ Multi-dimensional stability of planar Lax shocks in hyperbolic-elliptic coupled systems ⋮ Stable manifolds for a class of singular evolution equations and exponential decay of kinetic shocks ⋮ 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 ⋮ Stability of radiative shock profiles for hyperbolic-elliptic coupled systems ⋮ Propagating fronts for a viscous Hamer-type system ⋮ $L^\infty$-stability of Discontinuous Traveling Waves in a Hyperbolic-Elliptic Coupled System

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