THE QUENCHING BEHAVIOR OF A SEMILINEAR HEAT EQUATION WITH A SINGULAR BOUNDARY OUTFLUX
dc.authorid | Selcuk, Burhan/0000-0002-5141-5148 | |
dc.authorid | OZALP, Nuri/0000-0002-8028-3391 | |
dc.contributor.author | Selcuk, Burhan | |
dc.contributor.author | Ozalp, Nuri | |
dc.date.accessioned | 2024-09-29T16:11:14Z | |
dc.date.available | 2024-09-29T16:11:14Z | |
dc.date.issued | 2014 | |
dc.department | Karabük Üniversitesi | en_US |
dc.description.abstract | In 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.endpage | 752 | en_US |
dc.identifier.issn | 0033-569X | |
dc.identifier.issn | 1552-4485 | |
dc.identifier.issue | 4 | en_US |
dc.identifier.startpage | 747 | en_US |
dc.identifier.uri | https://hdl.handle.net/20.500.14619/8276 | |
dc.identifier.volume | 72 | en_US |
dc.identifier.wos | WOS:000346649200010 | en_US |
dc.identifier.wosquality | Q3 | en_US |
dc.indekslendigikaynak | Web of Science | en_US |
dc.language.iso | en | en_US |
dc.publisher | Brown Univ | en_US |
dc.relation.ispartof | Quarterly of Applied Mathematics | 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 | Semilinear heat equation | en_US |
dc.subject | singular boundary outflux | 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 SEMILINEAR HEAT EQUATION WITH A SINGULAR BOUNDARY OUTFLUX | en_US |
dc.type | Article | en_US |