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LOCAL EXISTENCE WITH MILD REGULARITY FOR THE BOLTZMANN EQUATION
| hal.structure.identifier | Institut de Recherche de l'Ecole Navale [IRENAV] | |
| dc.contributor.author | ALEXANDRE, Radjesvarane | |
| hal.structure.identifier | Graduate School of Human and Environmental Studies | |
| dc.contributor.author | MORIMOTO, Yoshinori | |
| hal.structure.identifier | retaite [Mr.] | |
| dc.contributor.author | UKAI, Seiji | |
| hal.structure.identifier | Laboratoire de Mathématiques Raphaël Salem [LMRS] | |
| dc.contributor.author | XU, Chao-Jiang | |
| hal.structure.identifier | Department of mathematics [Pr.] | |
| dc.contributor.author | YANG, Tong | |
| dc.date.accessioned | 2021-05-14T09:57:58Z | |
| dc.date.available | 2021-05-14T09:57:58Z | |
| dc.date.created | 2013 | |
| dc.date.issued | 2013 | |
| dc.identifier.issn | 1937-5093 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/77914 | |
| dc.description.abstractEn | Without 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.iso | en | |
| dc.publisher | AIMS | |
| dc.subject.en | fractional derivatives. | |
| dc.subject.en | existence of solution | |
| dc.subject.en | energy estimates | |
| dc.subject.en | Boltzmann equation | |
| dc.title.en | LOCAL EXISTENCE WITH MILD REGULARITY FOR THE BOLTZMANN EQUATION | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.3934/krm.2013.6.1011 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Kinetic and Related Models | |
| bordeaux.page | 1011-1041 | |
| bordeaux.volume | 6 | |
| bordeaux.hal.laboratories | Institut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295 | * |
| bordeaux.issue | 4 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.institution | INRAE | |
| bordeaux.institution | Arts et Métiers | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01116718 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01116718v1 | |
| bordeaux.COinS | ctx_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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