Existence of semilinear relaxation shocks

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dc.creatorMetivier, Guy
dc.creatorZumbrun, Kevin
dc.date2009-01-22
dc.date.accessioned2026-07-07T12:33:01Z
dc.date.available2026-07-07T12:33:01Z
dc.descriptionWe establish existence with sharp rates of decay and distance from the Chapman--Enskog approximation of small-amplitude shock profiles of a class of semilinear relaxation systems including discrete velocity models obtained from Boltzmann and other kinetic equations. Our method of analysis is based on the macro--micro decomposition introduced by Liu and Yu for the study of Boltzmann profiles, but applied to the stationary rather than the time-evolutionary equations. This yields a simple proof by contraction mapping in weighted $H^s$ spaces.
dc.identifierhttps://arxiv.org/abs/0901.3542
dc.identifierhttp://arxiv.org/abs/0901.3542
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216985
dc.subjectAnalysis of PDEs
dc.subject35L35
dc.titleExistence of semilinear relaxation shocks
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