QUENCHING FOR A REACTION-DIFFUSION EQUATION WITH WEAK SINGULARITIES

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dc.authoridSelcuk, Burhan/0000-0002-5141-5148
dc.contributor.authorSelcuk, B.
dc.date.accessioned2024-09-29T16:12:21Z
dc.date.available2024-09-29T16:12:21Z
dc.date.issued2022
dc.departmentKarabük Üniversitesien_US
dc.description.abstractThis paper studies the following reaction-diffusion equation with a weak singular boundary condition. The primary objective for this problem is to analyze the quenching properties. It is obtained that finite time quenching occurs on the left bound-ary, the time derivative of the solution blows up at the same time and also quench-ing rate estimates of the solution of the eqaution kt(x, t) = kxx(x, t) + ln alpha k(x, t), (x, t) is an element of (0, 1) x (0, T) with kx (0, t) = - ln beta k(0, t), kx (1, t) = 0, t is an element of (0, T) and ini-tial function k (x, 0) = k0 (x) with [0, 1] -> (0, 1) where 0 < alpha, beta < 1 and T is a finite time.en_US
dc.identifier.endpage1165en_US
dc.identifier.issn2146-1147
dc.identifier.issue4en_US
dc.identifier.startpage1160en_US
dc.identifier.urihttps://hdl.handle.net/20.500.14619/8712
dc.identifier.volume12en_US
dc.identifier.wosWOS:000867682700001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherTurkic World Mathematical Socen_US
dc.relation.ispartofTwms Journal of Applied and Engineering Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectReaction-diffusion equationen_US
dc.subjectSingular boundary conditionen_US
dc.subjectQuenchingen_US
dc.subjectMax-imum principlesen_US
dc.titleQUENCHING FOR A REACTION-DIFFUSION EQUATION WITH WEAK SINGULARITIESen_US
dc.typeArticleen_US

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