THE QUENCHING BEHAVIOR OF A SEMILINEAR HEAT EQUATION WITH A SINGULAR BOUNDARY OUTFLUX

dc.authoridSelcuk, Burhan/0000-0002-5141-5148
dc.authoridOZALP, Nuri/0000-0002-8028-3391
dc.contributor.authorSelcuk, Burhan
dc.contributor.authorOzalp, Nuri
dc.date.accessioned2024-09-29T16:11:14Z
dc.date.available2024-09-29T16:11:14Z
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.en_US
dc.identifier.endpage752en_US
dc.identifier.issn0033-569X
dc.identifier.issn1552-4485
dc.identifier.issue4en_US
dc.identifier.startpage747en_US
dc.identifier.urihttps://hdl.handle.net/20.500.14619/8276
dc.identifier.volume72en_US
dc.identifier.wosWOS:000346649200010en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherBrown Univen_US
dc.relation.ispartofQuarterly of Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSemilinear heat equationen_US
dc.subjectsingular boundary outfluxen_US
dc.subjectquenchingen_US
dc.subjectquenching pointen_US
dc.subjectquenching timeen_US
dc.subjectmaximum principlesen_US
dc.titleTHE QUENCHING BEHAVIOR OF A SEMILINEAR HEAT EQUATION WITH A SINGULAR BOUNDARY OUTFLUXen_US
dc.typeArticleen_US

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