Global existence and uniqueness of solutions to a parabolic haptotaxis model

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dc.contributor.authorNaima, Aissa
dc.contributor.authorTsmada, Hocine
dc.date.accessioned2024-07-12T20:49:04Z
dc.date.available2024-07-12T20:49:04Z
dc.date.issued2019en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractWe are dealing with the the models suggested by M.A.J and all Chaplain and all, [2, 3]. We prove existence ? and uniqueness of a local in time solution to the problem. Next, the problem is whether the solution blows-up in finite time or not. The answer depends on the choice of the initial data. Indeed, we can find in the literature examples of solutions blowing-up in finite time under appropriate initial data. In this work, we give sufficient conditions avoiding the blow-up of the solution so that the solution is global in time.en_US
dc.identifier.citationAissa, N. ve Tsmada, H. (2019). Global existence and uniqueness of solutions to a parabolic haptotaxis model. International Conference of Mathematical Sciences (ICMS 2019). s. 51.en_US
dc.identifier.endpage51en_US
dc.identifier.isbn978-605-2124-29-1
dc.identifier.startpage51en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2102
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciences (ICMS 2019)en_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY01464
dc.subjectQuasilinear parabolic equationsen_US
dc.subjectNonlinear parabolic problemsen_US
dc.subjectReaction-diffusion systemsen_US
dc.subjectChemotaxisHaptoaxisen_US
dc.titleGlobal existence and uniqueness of solutions to a parabolic haptotaxis modelen_US
dc.typeArticle
dspace.entity.typePublication

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