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The heat equation with the dynamic boundary condition as a singular limit of problems degenerating at the boundary

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cris.lastimport.scopus2024-02-12T20:27:23Z
dc.abstract.enWe derive the dynamic boundary condition for the heat equation as a limit of boundary layer problems. We study convergence of their weak and strong solutions as the width of the layer tends to zero. We also discuss Γ-convergence of the functionals generating these flows. Our analysis of strong solutions depends on a new version of the Reilly identity.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorRybka, Piotr
dc.contributor.authorŁasica, Michał
dc.contributor.authorGiga, Yoshikazu
dc.date.accessioned2024-01-26T10:15:42Z
dc.date.available2024-01-26T10:15:42Z
dc.date.issued2023
dc.description.financePublikacja bezkosztowa
dc.description.number3-4
dc.description.volume135
dc.identifier.doi10.3233/ASY-231862
dc.identifier.issn0921-7134
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/122392
dc.identifier.weblinkhttps://content.iospress.com/download?id=10.3233/ASY-231862
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofAsymptotic Analysis
dc.relation.pages463-508
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.enBoundary layer
dc.subject.endynamic boundary conditions
dc.subject.enconvergence of gradient flows
dc.subject.enReilly identity
dc.subject.enΓ-convergence
dc.titleThe heat equation with the dynamic boundary condition as a singular limit of problems degenerating at the boundary
dc.typeJournalArticle
dspace.entity.typePublication