Existence of semilinear relaxation shocks
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | METIVIER, Guy | |
| hal.structure.identifier | Department of Mathematics IU | |
| dc.contributor.author | ZUMBRUN, Kevin | |
| dc.date.accessioned | 2024-04-04T02:43:22Z | |
| dc.date.available | 2024-04-04T02:43:22Z | |
| dc.date.issued | 2009 | |
| dc.identifier.issn | 0021-7824 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191327 | |
| dc.description.abstractEn | We 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.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject.en | shock profiles | |
| dc.subject.en | relaxation | |
| dc.subject.en | macro-micro decomposition | |
| dc.subject.en | Chapman-Enskog approximation | |
| dc.subject.en | energy methods | |
| dc.title.en | Existence of semilinear relaxation shocks | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Journal de Mathématiques Pures et Appliquées | |
| bordeaux.page | pp 209--231 | |
| bordeaux.volume | 92 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00348427 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00348427v1 | |
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