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

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dc.contributor.authorOzalp, N.
dc.contributor.authorSelcuk, B.
dc.date.accessioned2024-09-29T16:16:30Z
dc.date.available2024-09-29T16:16:30Z
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. © 2015, Hacettepe Journal of Mathematics and Statistics. All rights reserved.en_US
dc.identifier.doi10.15672/HJMS.2015449429
dc.identifier.endpage621en_US
dc.identifier.issn2651-477X
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-84961671444en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage615en_US
dc.identifier.urihttps://doi.org/10.15672/HJMS.2015449429
dc.identifier.urihttps://hdl.handle.net/20.500.14619/9145
dc.identifier.volume44en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherHacettepe Universityen_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.subjectMaximum principlesen_US
dc.subjectNonlinear parabolic equationen_US
dc.subjectQuenchingen_US
dc.subjectQuenching pointen_US
dc.subjectQuenching timeen_US
dc.subjectSingular boundary conditionen_US
dc.titleThe quenching behavior of a nonlinear parabolic equation with a singular boundary conditionen_US
dc.typeArticleen_US

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