The quenching behavior of a nonlinear parabolic equation with a singular boundary condition

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dc.authoridOZALP, Nuri/0000-0002-8028-3391
dc.authoridSelcuk, Burhan/0000-0002-5141-5148
dc.contributor.authorOzalp, Nuri
dc.contributor.authorSelcuk, Burhan
dc.date.accessioned2024-09-29T16:11:24Z
dc.date.available2024-09-29T16:11:24Z
dc.date.issued2015
dc.departmentKarabük Üniversitesien_US
dc.description.abstractIn this paper, we study the quenching behavior of solution of a nonlinear parabolic equation with a singular boundary condition. We prove finite-time quenching for the solution. Further, we show that quenching occurs on the boundary under certain conditions. Furthermore, we show that the time derivative blows up at quenching point. Also, we get a lower solution and an upper bound for quenching time. Finally, we get a quenching rate and lower bounds for quenching time.en_US
dc.identifier.endpage621en_US
dc.identifier.issn1303-5010
dc.identifier.issue3en_US
dc.identifier.startpage615en_US
dc.identifier.urihttps://hdl.handle.net/20.500.14619/8411
dc.identifier.volume44en_US
dc.identifier.wosWOS:000362715400010en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherHacettepe Univ, Fac Scien_US
dc.relation.ispartofHacettepe Journal of Mathematics and Statisticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectNonlinear parabolic equationen_US
dc.subjectsingular boundary conditionen_US
dc.subjectquenchingen_US
dc.subjectquenching pointen_US
dc.subjectquenching timeen_US
dc.subjectmaximum principlesen_US
dc.titleThe quenching behavior of a nonlinear parabolic equation with a singular boundary conditionen_US
dc.typeArticleen_US

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