The quenching behavior of a semilinear heat equation with a singular boundary outflux

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dc.contributor.authorSelcuk, B.
dc.contributor.authorOzalp, N.
dc.date.accessioned2024-09-29T16:21:02Z
dc.date.available2024-09-29T16:21:02Z
dc.date.issued2014
dc.departmentKarabük Üniversitesien_US
dc.description.abstractIn this paper, we study the quenching behavior of the solution of a semilinear heat equation with a singular boundary outflux. We prove a finite-time quenching for the solution. Further, we show that quenching occurs on the boundary under certain conditions and we show that the time derivative blows up at a quenching point. Finally, we get a quenching rate and a lower bound for the quenching time. © 2014 Brown University.en_US
dc.identifier.doi10.1090/S0033-569X-2014-01367-9
dc.identifier.endpage752en_US
dc.identifier.issn0033-569X
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-84920142403en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage747en_US
dc.identifier.urihttps://doi.org/10.1090/S0033-569X-2014-01367-9
dc.identifier.urihttps://hdl.handle.net/20.500.14619/9490
dc.identifier.volume72en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAmerican Mathematical Societyen_US
dc.relation.ispartofQuarterly of Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectMaximum principlesen_US
dc.subjectQuenchingen_US
dc.subjectQuenching pointen_US
dc.subjectQuenching timeen_US
dc.subjectSemilinear heat equationen_US
dc.subjectSingular boundary outfluxen_US
dc.titleThe quenching behavior of a semilinear heat equation with a singular boundary outfluxen_US
dc.typeArticleen_US

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