Show simple item record

Regularity of the Boltzmann equation in convex domains

hal.structure.identifierDivision of Applied Mathematics
dc.contributor.authorGuo, Yan*
hal.structure.identifier
dc.contributor.authorKim, Chanwoo*
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorTonon, Daniela*
hal.structure.identifierCentre de Mathématiques et de Leurs Applications [CMLA]
dc.contributor.authorTrescases, Ariane
HAL ID: 170937		*
dc.date.accessioned2016-09-16T17:52:10Z
dc.date.available2016-09-16T17:52:10Z
dc.date.issued2017
dc.identifier.issn0020-9910
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/15797
dc.language.isoenen
dc.subjectBoltzmann
dc.subject.ddc519en
dc.titleRegularity of the Boltzmann equation in convex domains
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenA basic question about regularity of Boltzmann solutions in the presence of physical boundary conditions has been open due to characteristic nature of the boundary as well as the non-local mixing of the collision operator. Consider the Boltzmann equation in a strictly convex domain with the specular, bounce-back and diffuse boundary condition. With the aid of a distance function toward the grazing set, we construct weighted classical C1 solutions away from the grazing set for all boundary conditions. For the diffuse boundary condition, we construct W1,p solutions for 1<p<2 and weighted W1,p solutions for 2≤p≤∞ as well.
dc.relation.isversionofjnlnameInventiones Mathematicae
dc.relation.isversionofjnlvol207
dc.relation.isversionofjnlissue1
dc.relation.isversionofjnldate2017
dc.relation.isversionofjnlpages115-290
dc.relation.isversionofdoi10.1007/s00222-016-0670-8
dc.identifier.urlsitehttps://arxiv.org/abs/1212.1694v4
dc.relation.isversionofjnlpublisherSpringer
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintouien
dc.description.ssrncandidatenon
dc.description.halcandidateoui
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2017-03-22T14:32:09Z
hal.author.functionaut
hal.author.functionaut
hal.author.functionaut
hal.author.functionaut


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record