Emergence of boundary conditions in the heat equation

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dc.contributor.authorChung, Jaywanko
dc.contributor.authorKang, Seungminko
dc.contributor.authorKim, Ho-Younko
dc.contributor.authorKim, Yong-Jungko
dc.date.accessioned2024-09-12T07:00:07Z-
dc.date.available2024-09-12T07:00:07Z-
dc.date.created2024-09-12-
dc.date.issued2024-07-
dc.identifier.citationJOURNAL OF MATHEMATICAL PHYSICS, v.65, no.7-
dc.identifier.issn0022-2488-
dc.identifier.urihttp://hdl.handle.net/10203/322941-
dc.description.abstractThe Dirichlet and Neumann conditions are commonly employed as boundary conditions for the heat equation, yet their legitimacy is debatable in certain scenarios. This paper aims to demonstrate that, in fact, diffusion laws autonomously select boundary conditions. To illustrate this, we incorporate the bounded domain into a larger domain with a diffusivity parameter & varepsilon; > 0 and examine the solution's behavior at the interface. Our findings reveal that homogeneous Neumann or Dirichlet boundary conditions emerge as & varepsilon; -> 0, contingent upon the type of the heterogeneous diffusion.-
dc.languageEnglish-
dc.publisherAIP Publishing-
dc.titleEmergence of boundary conditions in the heat equation-
dc.typeArticle-
dc.identifier.wosid001264458600003-
dc.identifier.scopusid2-s2.0-85198173259-
dc.type.rimsART-
dc.citation.volume65-
dc.citation.issue7-
dc.citation.publicationnameJOURNAL OF MATHEMATICAL PHYSICS-
dc.identifier.doi10.1063/5.0215656-
dc.contributor.localauthorKim, Yong-Jung-
dc.contributor.nonIdAuthorChung, Jaywan-
dc.contributor.nonIdAuthorKim, Ho-Youn-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordPlusFICKS LAW-
dc.subject.keywordPlusDIFFUSION-
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MA-Journal Papers(저널논문)
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