Blow up for non-Newtonian equations with two nonlinear sources

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dc.authoridSelcuk, Burhan/0000-0002-5141-5148
dc.contributor.authorSelcuk, Burhan
dc.date.accessioned2024-09-29T16:06:21Z
dc.date.available2024-09-29T16:06:21Z
dc.date.issued2021
dc.departmentKarabük Üniversitesien_US
dc.description.abstractThis paper studies the following two non-Newtonian equations with nonlinear boundary conditions. Firstly, we show that finite time blow up occurs on the boundary and we get a blow up rate and an estimate for the blow up time of the equation k(t) = (vertical bar k(x)vertical bar(r-2) k(x))(x), (x, t) is an element of (0, L) x (0,T) with k(x) (0,t) = k(alpha) (0, t), k(x) (L,t) = k(beta) (L,t), t is an element of (0, T) and initial function k (x, 0) = k(0) (x), x is an element of [0, L] where r >= 2, alpha, beta and L are positive constants. Secondly, we show that finite time blow up occurs on the boundary, and we get blow up rates and estimates for the blow up time of the equation k(t) = (vertical bar k(x)vertical bar(r-2) k(x))(x) + k(alpha), (x, t) is an element of (0, L) x (0, T) with k(x) (0,t) = 0, k(x) (L,t) = k(beta) (L,t), t is an element of (0,T) and initial function k (x, 0) = k(0) (x), x is an element of [0, L] where r >= 2, alpha, beta and L are positive constants.en_US
dc.identifier.doi10.15672/hujms.653805
dc.identifier.endpage548en_US
dc.identifier.issn2651-477X
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85105468283en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage541en_US
dc.identifier.trdizinid492875en_US
dc.identifier.urihttps://doi.org/10.15672/hujms.653805
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/492875
dc.identifier.urihttps://hdl.handle.net/20.500.14619/6786
dc.identifier.volume50en_US
dc.identifier.wosWOS:000640069900021en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_US
dc.publisherHacettepe Univ, Fac Scien_US
dc.relation.ispartofHacettepe Journal of Mathematics and Statisticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectheat equationen_US
dc.subjectnonlinear parabolic equationen_US
dc.subjectblow upen_US
dc.subjectmaximum principlesen_US
dc.titleBlow up for non-Newtonian equations with two nonlinear sourcesen_US
dc.typeArticleen_US

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