$L^\infty$-Stability of Continuous Shock Waves in a Radiating Gas Model

DOI10.1137/130935252zbMath1302.35048OpenAlexW2017631593MaRDI QIDQ2878994

Masashi Ohnawa

Publication date: 5 September 2014

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

Full work available at URL: https://doi.org/10.1137/130935252

zbMATH Keywords

hyperbolic-elliptic systemcollision of discontinuities

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Gas dynamics (general theory) (76N15) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial-boundary value problems for first-order hyperbolic systems (35L50) Blow-up in context of PDEs (35B44)

Related Items (7)

$$L^\infty $$ L ∞ -Stability of Discontinuous Traveling Waves in a Radiating Gas Model ⋮ Asymptotic Stability of Solutions to a Hyperbolic-Elliptic Coupled System of Radiating Gas on the Half Line ⋮ Asymptotic stability of travelling wave to a hyperbolic-elliptic coupled system of the radiating gas on half line ⋮ Asymptotic behavior toward the combination of contact discontinuity with rarefaction waves for 1-D compressible viscous gas with radiation ⋮ 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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