QUENCHING PROBLEMS FOR A SEMILINEAR REACTION-DIFFUSION SYSTEM WITH SINGULAR BOUNDARY OUTFLUX

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dc.authoridSelcuk, Burhan/0000-0002-5141-5148
dc.contributor.authorSelcuk, Burhan
dc.date.accessioned2024-09-29T16:09:55Z
dc.date.available2024-09-29T16:09:55Z
dc.date.issued2016
dc.departmentKarabük Üniversitesien_US
dc.description.abstractIn this paper, we study two quenching problems for the following semilinear reaction-diffusion system: u(t) = u(xx) +(1-v)(-p1), 0 < x < 1, 0 < t < T, v(t) = v(xx) +(1-u)-(p2), 0 < x < 1, 0 < t < T, u(x) (0, t) = 0, u(x) (1, t) = -v (-q1) (1, t), 0 < t < T, v(x) (0, t) = 0, v(x) (1, t) = -u -(q2) (1, t), 0 < t < T, u (x,0) = u(0) (x) < 1, v (x, 0) = v(0) (x) < 1, 0 <= x <= 1, where p(1), p(2), q(1), q(2) are positive constants and u(0)(x), v(0)(x) are positive smooth functions. We firstly get a local exisence result for this system. In the first problem, we show that quenching occurs in finite time, the only quenching point is x = 0 and (u(t), v(t)) blows up at the quenching time under the certain conditions. In the second problem, we show that quenching occurs in finite time, the only quenching point is x = 1 and (u(t), v(t)) blows up at the quenching time under the certain conditions.en_US
dc.identifier.doi10.5556/j.tkjm.47.2016.1961
dc.identifier.endpage337en_US
dc.identifier.issn0049-2930
dc.identifier.issn2073-9826
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-84986588502en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage323en_US
dc.identifier.urihttps://doi.org/10.5556/j.tkjm.47.2016.1961
dc.identifier.urihttps://hdl.handle.net/20.500.14619/7833
dc.identifier.volume47en_US
dc.identifier.wosWOS:000410487300005en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTamkang Univen_US
dc.relation.ispartofTamkang Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectReaction-diffusion systemen_US
dc.subjectsingular boundary outfluxen_US
dc.subjectquenchingen_US
dc.subjectmaximum principlesen_US
dc.subjectmonotone iterationsen_US
dc.titleQUENCHING PROBLEMS FOR A SEMILINEAR REACTION-DIFFUSION SYSTEM WITH SINGULAR BOUNDARY OUTFLUXen_US
dc.typeArticleen_US

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