DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Ho-Youn | ko |
dc.contributor.author | Kim, Yong-Jung | ko |
dc.contributor.author | Lim, Hyun-Jin | ko |
dc.date.accessioned | 2021-11-03T06:41:37Z | - |
dc.date.available | 2021-11-03T06:41:37Z | - |
dc.date.created | 2021-11-02 | - |
dc.date.created | 2021-11-02 | - |
dc.date.created | 2021-11-02 | - |
dc.date.created | 2021-11-02 | - |
dc.date.created | 2021-11-02 | - |
dc.date.issued | 2021-10 | - |
dc.identifier.citation | KINETIC AND RELATED MODELS, v.14, no.5, pp.749 - 765 | - |
dc.identifier.issn | 1937-5093 | - |
dc.identifier.uri | http://hdl.handle.net/10203/288598 | - |
dc.description.abstract | A 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.language | English | - |
dc.publisher | AMER INST MATHEMATICAL SCIENCES-AIMS | - |
dc.title | HETEROGENEOUS DISCRETE KINETIC MODEL AND ITS DIFFUSION LIMIT | - |
dc.type | Article | - |
dc.identifier.wosid | 000706042500001 | - |
dc.identifier.scopusid | 2-s2.0-85117902565 | - |
dc.type.rims | ART | - |
dc.citation.volume | 14 | - |
dc.citation.issue | 5 | - |
dc.citation.beginningpage | 749 | - |
dc.citation.endingpage | 765 | - |
dc.citation.publicationname | KINETIC AND RELATED MODELS | - |
dc.identifier.doi | 10.3934/krm.2021023 | - |
dc.embargo.liftdate | 9999-12-31 | - |
dc.embargo.terms | 9999-12-31 | - |
dc.contributor.localauthor | Kim, Yong-Jung | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | inhomogeneous diffusion | - |
dc.subject.keywordAuthor | parabolic singular limit | - |
dc.subject.keywordAuthor | velocity jump process | - |
dc.subject.keywordAuthor | random walk | - |
dc.subject.keywordAuthor | Discrete velocity kinetic equations | - |
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