Quenching for a nonlinear diffusion equation with singular boundary outfluxes
| dc.contributor.author | Selçuk, Burhan | |
| dc.contributor.author | Özalp, Nuri | |
| dc.date.accessioned | 2024-09-29T16:33:17Z | |
| dc.date.available | 2024-09-29T16:33:17Z | |
| dc.date.issued | 2018 | |
| dc.department | Karabük Üniversitesi | en_US |
| dc.description.abstract | In this paper, we study a nonlinear diffusion equation (?(u))t = uxx, 0 < x < a, t > 0 with singularboundary outfluxes ux(0, t) = u?p(0, t), ux(a, t) = ?u?q(a, t). Firstly, we get the quenching occurs in a finite time atthe boundary x = a under certain conditions. Finally, we show the time derivative blows up at the quenching timeand we also establish results on quenching time and rate for certain nonlinearities. | en_US |
| dc.identifier.endpage | 69 | en_US |
| dc.identifier.issue | 8 | en_US |
| dc.identifier.startpage | 65 | en_US |
| dc.identifier.trdizinid | 349298 | en_US |
| dc.identifier.uri | https://search.trdizin.gov.tr/tr/yayin/detay/349298 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14619/11730 | |
| dc.identifier.volume | 8 | en_US |
| dc.indekslendigikaynak | TR-Dizin | en_US |
| dc.language.iso | en | en_US |
| dc.relation.ispartof | Turkish Journal of Mathematics and Computer Science | en_US |
| dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.title | Quenching for a nonlinear diffusion equation with singular boundary outfluxes | en_US |
| dc.type | Article | en_US |
