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hal.structure.identifierInstitut de Recherche de l'Ecole Navale [IRENAV]
dc.contributor.authorALEXANDRE, Radjesvarane
hal.structure.identifierGraduate School of Human and Environmental Studies
dc.contributor.authorMORIMOTO, Yoshinori
hal.structure.identifierretaite [Mr.]
dc.contributor.authorUKAI, Seiji
hal.structure.identifierLaboratoire de Mathématiques Raphaël Salem [LMRS]
dc.contributor.authorXU, Chao-Jiang
hal.structure.identifierDepartment of mathematics [Pr.]
dc.contributor.authorYANG, Tong
dc.date.accessioned2021-05-14T09:57:58Z
dc.date.available2021-05-14T09:57:58Z
dc.date.created2013
dc.date.issued2013
dc.identifier.issn1937-5093
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/77914
dc.description.abstractEnWithout Grad's angular cuto assumption, the local existence of classical solutions to the Boltzmann equation is studied. There are two newimprovements: the index of Sobolev spaces for the solution is related to the parameter of the angular singularity; moreover, we do not assume that theinitial data is close to a global equilibrium. Using the energy method, one important step in the analysis is the study of fractional derivatives of thecollision operator and related commutators.
dc.language.isoen
dc.publisherAIMS
dc.subject.enfractional derivatives.
dc.subject.enexistence of solution
dc.subject.enenergy estimates
dc.subject.enBoltzmann equation
dc.title.enLOCAL EXISTENCE WITH MILD REGULARITY FOR THE BOLTZMANN EQUATION
dc.typeArticle de revue
dc.identifier.doi10.3934/krm.2013.6.1011
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalKinetic and Related Models
bordeaux.page1011-1041
bordeaux.volume6
bordeaux.hal.laboratoriesInstitut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295*
bordeaux.issue4
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.institutionINRAE
bordeaux.institutionArts et Métiers
bordeaux.peerReviewedoui
hal.identifierhal-01116718
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01116718v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Kinetic%20and%20Related%20Models&rft.date=2013&rft.volume=6&rft.issue=4&rft.spage=1011-1041&rft.epage=1011-1041&rft.eissn=1937-5093&rft.issn=1937-5093&rft.au=ALEXANDRE,%20Radjesvarane&MORIMOTO,%20Yoshinori&UKAI,%20Seiji&XU,%20Chao-Jiang&YANG,%20Tong&rft.genre=article


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