The quenching behavior of a nonlinear parabolic equation with a singular boundary condition
dc.authorid | OZALP, Nuri/0000-0002-8028-3391 | |
dc.authorid | Selcuk, Burhan/0000-0002-5141-5148 | |
dc.contributor.author | Ozalp, Nuri | |
dc.contributor.author | Selcuk, Burhan | |
dc.date.accessioned | 2024-09-29T16:11:24Z | |
dc.date.available | 2024-09-29T16:11:24Z | |
dc.date.issued | 2015 | |
dc.department | Karabük Üniversitesi | en_US |
dc.description.abstract | In 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.endpage | 621 | en_US |
dc.identifier.issn | 1303-5010 | |
dc.identifier.issue | 3 | en_US |
dc.identifier.startpage | 615 | en_US |
dc.identifier.uri | https://hdl.handle.net/20.500.14619/8411 | |
dc.identifier.volume | 44 | en_US |
dc.identifier.wos | WOS:000362715400010 | en_US |
dc.identifier.wosquality | Q4 | en_US |
dc.indekslendigikaynak | Web of Science | en_US |
dc.language.iso | en | en_US |
dc.publisher | Hacettepe Univ, Fac Sci | en_US |
dc.relation.ispartof | Hacettepe Journal of Mathematics and Statistics | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Nonlinear parabolic equation | en_US |
dc.subject | singular boundary condition | en_US |
dc.subject | quenching | en_US |
dc.subject | quenching point | en_US |
dc.subject | quenching time | en_US |
dc.subject | maximum principles | en_US |
dc.title | The quenching behavior of a nonlinear parabolic equation with a singular boundary condition | en_US |
dc.type | Article | en_US |