BROWSE

Related Scientist

jang,jinwoo's photo.

jang,jinwoo
기하학수리물리연구단
more info

ITEM VIEW & DOWNLOAD

Propagation of Uniform Upper Bounds for the Spatially Homogeneous Relativistic Boltzmann Equation

DC Field Value Language
dc.contributor.authorJin Woo Jang-
dc.contributor.authorRobert M. Strain-
dc.contributor.authorYun, Seok-Bae-
dc.date.accessioned2021-07-07T08:30:00Z-
dc.date.accessioned2021-07-07T08:30:00Z-
dc.date.available2021-07-07T08:30:00Z-
dc.date.available2021-07-07T08:30:00Z-
dc.date.created2021-05-27-
dc.date.issued2021-07-
dc.identifier.issn0003-9527-
dc.identifier.urihttps://pr.ibs.re.kr/handle/8788114/9868-
dc.description.abstract© 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH, DE, part of Springer Nature.In this paper, we prove the propagation of uniform upper bounds for the spatially homogeneous relativistic Boltzmann equation. These polynomial and exponential L∞ bounds have been known to be a challenging open problem in relativistic kinetic theory. To accomplish this, we establish two types of estimates for the gain part of the collision operator. First, we prove a potential type estimate and a relativistic hyper-surface integral estimate. We then combine those estimates using the relativistic counterpart of the Carleman representation to derive uniform control of the gain term for the relativistic collision operator. This allows us to prove the desired propagation of the uniform bounds of the solution. We further present two applications of the propagation of the uniform upper bounds: another proof of the Boltzmann H-theorem, and the asymptotic convergence of solutions to the relativistic Maxwellian equilibrium.-
dc.language영어-
dc.publisherSpringer Science and Business Media Deutschland GmbH-
dc.titlePropagation of Uniform Upper Bounds for the Spatially Homogeneous Relativistic Boltzmann Equation-
dc.typeArticle-
dc.type.rimsART-
dc.identifier.wosid000640158800001-
dc.identifier.scopusid2-s2.0-85104208762-
dc.identifier.rimsid75692-
dc.contributor.affiliatedAuthorJin Woo Jang-
dc.identifier.doi10.1007/s00205-021-01649-0-
dc.identifier.bibliographicCitationArchive for Rational Mechanics and Analysis, v.241, no.1, pp.149 - 186-
dc.relation.isPartOfArchive for Rational Mechanics and Analysis-
dc.citation.titleArchive for Rational Mechanics and Analysis-
dc.citation.volume241-
dc.citation.number1-
dc.citation.startPage149-
dc.citation.endPage186-
dc.type.docTypeArticle-
dc.description.journalClass1-
dc.description.journalClass1-
dc.description.isOpenAccessN-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalResearchAreaMathematics-
dc.relation.journalResearchAreaMechanics-
dc.relation.journalWebOfScienceCategoryMathematics, Applied-
dc.relation.journalWebOfScienceCategoryMechanics-
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
Files in This Item:
There are no files associated with this item.

qrcode

  • facebook

    twitter

  • Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
해당 아이템을 이메일로 공유하기 원하시면 인증을 거치시기 바랍니다.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse