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DC Field | Value | Language |
---|---|---|
dc.citation.endPage | 487 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 471 | - |
dc.citation.title | NETWORKS AND HETEROGENEOUS MEDIA | - |
dc.citation.volume | 14 | - |
dc.contributor.author | Bae, Hantaek | - |
dc.contributor.author | Granero-Belinchon, Rafael | - |
dc.contributor.author | Lazar, Omar | - |
dc.date.accessioned | 2023-12-21T18:46:16Z | - |
dc.date.available | 2023-12-21T18:46:16Z | - |
dc.date.created | 2019-06-20 | - |
dc.date.issued | 2019-09 | - |
dc.description.abstract | We consider the 1D transport equation with nonlocal velocity field: theta(t) + u theta(x) + nu Lambda(gamma)theta = 0, u = N(theta), where N is a nonlocal operator and Lambda(gamma) is a Fourier multiplier defined by (Lambda gamma f) over cap(xi) =vertical bar xi vertical bar(gamma)(f) over cap(xi). In this paper, we show the existence of solutions of this model locally and globally in time for various types of nonlocal operators. | - |
dc.identifier.bibliographicCitation | NETWORKS AND HETEROGENEOUS MEDIA, v.14, no.3, pp.471 - 487 | - |
dc.identifier.doi | 10.3934/nhm.2019019 | - |
dc.identifier.issn | 1556-1801 | - |
dc.identifier.scopusid | 2-s2.0-85068613178 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/26849 | - |
dc.identifier.url | http://aimsciences.org//article/doi/10.3934/nhm.2019019 | - |
dc.identifier.wosid | 000470084700002 | - |
dc.language | 영어 | - |
dc.publisher | AMER INST MATHEMATICAL SCIENCES-AIMS | - |
dc.title | ON THE LOCAL AND GLOBAL EXISTENCE OF SOLUTIONS TO 1D TRANSPORT EQUATIONS WITH NONLOCAL VELOCITY | - |
dc.type | Article | - |
dc.description.isOpenAccess | FALSE | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Interdisciplinary Applications | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.type.docType | Article | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordAuthor | Fluid equations | - |
dc.subject.keywordAuthor | 1D models | - |
dc.subject.keywordAuthor | global weak solution | - |
dc.subject.keywordPlus | ONE-DIMENSIONAL MODEL | - |
dc.subject.keywordPlus | WELL-POSEDNESS | - |
dc.subject.keywordPlus | BLOW-UP | - |
dc.subject.keywordPlus | SINGULARITIES | - |
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