Multi-dimensional stability of planar Lax shocks in hyperbolic-elliptic coupled systems

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We study nonlinear time-asymptotic stability of small-amplitude planar Lax shocks in a model consisting of a system of multi-dimensional conservation laws coupled with an elliptic system. Such a model can be found in context of dynamics of a gas in presence of radiation. Our main result asserts that the standard uniform Evans stability condition implies nonlinear stability. The main analysis is based on the earlier developments by Zumbrun for multi-dimensional viscous shock waves and by Lattanzio-Mascia-Nguyen-Plaza-Zumbrun for one-dimensional radiative shock profiles.

Original languageEnglish (US)
Pages (from-to)382-411
Number of pages30
JournalJournal of Differential Equations
Volume252
Issue number1
DOIs
StatePublished - Jan 1 2012

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Dimensional stability
Elliptic Systems
Coupled System
Shock
Nonlinear Stability
Asymptotic stability
Shock Waves
Stability Condition
Shock waves
Asymptotic Stability
Conservation Laws
Conservation
Radiation
Imply
Gases
Model
Profile
Standards
Gas
Context

All Science Journal Classification (ASJC) codes

  • Analysis

Cite this

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Multi-dimensional stability of planar Lax shocks in hyperbolic-elliptic coupled systems. / Nguyen, Toan.

In: Journal of Differential Equations, Vol. 252, No. 1, 01.01.2012, p. 382-411.

Research output: Contribution to journalArticle

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