HETEROGENEOUS DISCRETE KINETIC MODEL AND ITS DIFFUSION LIMIT

Cited 0 time in webofscience Cited 0 time in scopus
  • Hit : 99
  • Download : 24
DC FieldValueLanguage
dc.contributor.authorKim, Ho-Younko
dc.contributor.authorKim, Yong-Jungko
dc.contributor.authorLim, Hyun-Jinko
dc.date.accessioned2021-11-03T06:41:37Z-
dc.date.available2021-11-03T06:41:37Z-
dc.date.created2021-11-02-
dc.date.created2021-11-02-
dc.date.created2021-11-02-
dc.date.created2021-11-02-
dc.date.created2021-11-02-
dc.date.issued2021-10-
dc.identifier.citationKINETIC AND RELATED MODELS, v.14, no.5, pp.749 - 765-
dc.identifier.issn1937-5093-
dc.identifier.urihttp://hdl.handle.net/10203/288598-
dc.description.abstractA revertible discrete velocity kinetic model is introduced when the environment is spatially heterogeneous. It is proved that the parabolic scale singular limit of the model exists and satisfies a new heterogeneous diffusion equation that depends on the diffusivity and the turning frequency together. An energy functional is introduced which takes into account spatial hetero-geneity in the velocity field. The monotonicity of the energy functional is the key to obtain uniform estimates needed for the weak convergence proof. The Div-Curl lemma completes the strong convergence proof.-
dc.languageEnglish-
dc.publisherAMER INST MATHEMATICAL SCIENCES-AIMS-
dc.titleHETEROGENEOUS DISCRETE KINETIC MODEL AND ITS DIFFUSION LIMIT-
dc.typeArticle-
dc.identifier.wosid000706042500001-
dc.identifier.scopusid2-s2.0-85117902565-
dc.type.rimsART-
dc.citation.volume14-
dc.citation.issue5-
dc.citation.beginningpage749-
dc.citation.endingpage765-
dc.citation.publicationnameKINETIC AND RELATED MODELS-
dc.identifier.doi10.3934/krm.2021023-
dc.embargo.liftdate9999-12-31-
dc.embargo.terms9999-12-31-
dc.contributor.localauthorKim, Yong-Jung-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorinhomogeneous diffusion-
dc.subject.keywordAuthorparabolic singular limit-
dc.subject.keywordAuthorvelocity jump process-
dc.subject.keywordAuthorrandom walk-
dc.subject.keywordAuthorDiscrete velocity kinetic equations-
Appears in Collection
MA-Journal Papers(저널논문)
Files in This Item

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0