Stability of radiative shock profiles for hyperbolic-elliptic coupled systems

DOI10.1016/j.physd.2010.01.011zbMath1195.37045arXiv0908.1566OpenAlexW2110871225MaRDI QIDQ964904

Ramón G. Plaza, Kevin Zumbrun, Toan T. Nguyen

Publication date: 21 April 2010

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.1566

zbMATH Keywords

nonlinear stabilityshock profilesradiating gaseshyperbolic-elliptic systemspointwise Green function bounds

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Stability problems for infinite-dimensional dissipative dynamical systems (37L15)

Related Items (23)

$$L^\infty $$ L ∞ -Stability of Discontinuous Traveling Waves in a Radiating Gas Model ⋮ Periodic entropy solution to a conservation law with nonlocal source arising in radiative gas ⋮ Formation of singularities of solutions to a 1D compressible radiation hydrodynamics model ⋮ Nonrelativistic Limit of the Compressible Navier--Stokes--Fourier--P1 Approximation Model Arising in Radiation Hydrodynamics ⋮ Global stability of rarefaction wave for the outflow problem governed by the radiative Euler equations ⋮ Decay of a model system of radiating gas ⋮ Global existence of smooth solutions for the diffusion approximation model of general gas in radiation hydrodynamics ⋮ A limit problem for three-dimensional ideal compressible radiation magneto-hydrodynamics ⋮ Asymptotic Stability of Shock Wave for the Outflow Problem Governed by the One-Dimensional Radiative Euler Equations ⋮ Global existence of smooth solutions for the compressible viscous fluid flow with radiation in \(\mathbb{R}^3\). ⋮ 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 ⋮ Asymptotic Stability of Rarefaction Wave for the Inflow Problem Governed by the One-Dimensional Radiative Euler Equations ⋮ Stable manifolds for a class of singular evolution equations and exponential decay of kinetic shocks ⋮ Asymptotic behavior toward the combination of contact discontinuity with rarefaction waves for 1-D compressible viscous gas with radiation ⋮ DECAY RATES TO VISCOUS CONTACT WAVES FOR A 1D COMPRESSIBLE RADIATION HYDRODYNAMICS MODEL ⋮ 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 ⋮ Asymptotic stability of viscous contact wave for the 1D radiation hydrodynamics system ⋮ BV estimates on Lax-Friedrichs' scheme for a radiating gas model with nonlinear radiative inhomogeneity ⋮ 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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