Convergence to equilibrium of some kinetic models

We introduce in this paper a new constructive approach to the problem of the convergence to equilibrium for a large class of kinetic equations. The idea of the approach is to prove a 'weak' coercive estimate, which implies exponential or polynomial convergence rate. Our method works very w...

Descripción completa

Detalles Bibliográficos
Autor: Tran, M.-B.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2013
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/521
Acceso en línea:http://hdl.handle.net/20.500.11824/521
Access Level:acceso abierto
Palabra clave:Boltzmann equation
Goldstein-Taylor model
Hard potential
Rate of convergence to equilibrium
Soft potential
id ES_b0d3b351e92f1fc7f7fc0d396f8abb3a
oai_identifier_str oai:bird.bcamath.org:20.500.11824/521
network_acronym_str ES
network_name_str España
repository_id_str
spelling Convergence to equilibrium of some kinetic modelsTran, M.-B.Boltzmann equationGoldstein-Taylor modelHard potentialRate of convergence to equilibriumSoft potentialWe introduce in this paper a new constructive approach to the problem of the convergence to equilibrium for a large class of kinetic equations. The idea of the approach is to prove a 'weak' coercive estimate, which implies exponential or polynomial convergence rate. Our method works very well not only for hypocoercive systems in which the coercive parts are degenerate but also for the linearized Boltzmann equation.201720172013info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/521reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Ingléshttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84892558991&doi=10.1016%2fj.jde.2013.04.013&partnerID=40&md5=333e513ed95f4e1d13587e3164da520cReconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:bird.bcamath.org:20.500.11824/5212026-06-19T12:47:47Z
dc.title.none.fl_str_mv Convergence to equilibrium of some kinetic models
title Convergence to equilibrium of some kinetic models
spellingShingle Convergence to equilibrium of some kinetic models
Tran, M.-B.
Boltzmann equation
Goldstein-Taylor model
Hard potential
Rate of convergence to equilibrium
Soft potential
title_short Convergence to equilibrium of some kinetic models
title_full Convergence to equilibrium of some kinetic models
title_fullStr Convergence to equilibrium of some kinetic models
title_full_unstemmed Convergence to equilibrium of some kinetic models
title_sort Convergence to equilibrium of some kinetic models
dc.creator.none.fl_str_mv Tran, M.-B.
author Tran, M.-B.
author_facet Tran, M.-B.
author_role author
dc.subject.none.fl_str_mv Boltzmann equation
Goldstein-Taylor model
Hard potential
Rate of convergence to equilibrium
Soft potential
topic Boltzmann equation
Goldstein-Taylor model
Hard potential
Rate of convergence to equilibrium
Soft potential
description We introduce in this paper a new constructive approach to the problem of the convergence to equilibrium for a large class of kinetic equations. The idea of the approach is to prove a 'weak' coercive estimate, which implies exponential or polynomial convergence rate. Our method works very well not only for hypocoercive systems in which the coercive parts are degenerate but also for the linearized Boltzmann equation.
publishDate 2013
dc.date.none.fl_str_mv 2013
2017
2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.11824/521
url http://hdl.handle.net/20.500.11824/521
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://www.scopus.com/inward/record.uri?eid=2-s2.0-84892558991&doi=10.1016%2fj.jde.2013.04.013&partnerID=40&md5=333e513ed95f4e1d13587e3164da520c
dc.rights.none.fl_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:BIRD. BCAM's Institutional Repository Data
instname:Basque Center for Applied Mathematics (BCAM)
instname_str Basque Center for Applied Mathematics (BCAM)
reponame_str BIRD. BCAM's Institutional Repository Data
collection BIRD. BCAM's Institutional Repository Data
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869416859367899136
score 15,301629

Similares en LA Referencia