Stability of undercompressive viscous shock profiles of hyperbolic--parabolic systems

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dc.creatorRaoofi, Mohammadreza
dc.creatorZumbrun, Kevin
dc.date2007-02-14
dc.date.accessioned2026-07-07T07:46:55Z
dc.date.available2026-07-07T07:46:55Z
dc.descriptionExtending to systems of hyperbolic--parabolic conservation laws results of Howard and Zumbrun for strictly parabolic systems, we show for viscous shock profiles of arbitrary amplitude and type that necessary spectral (Evans function) conditions for linearized stability established by Mascia and Zumbrun are also sufficient for linearized and nonlinear phase-asymptotic stability, yielding detailed pointwise estimates and sharp rates of convergence in $L^p$, $1\le p\le \infty$.
dc.description37 pp
dc.identifierhttps://arxiv.org/abs/math/0702429
dc.identifierhttp://arxiv.org/abs/math/0702429
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123988
dc.subjectAnalysis of PDEs
dc.subjectL35B35
dc.titleStability of undercompressive viscous shock profiles of hyperbolic--parabolic systems
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