Existence and blow-up of solutions for a non-local filtration and porous medium problem

Latos, EA; Tzanetis, DE

dc.contributor.author	Latos, EA	en
dc.contributor.author	Tzanetis, DE	en
dc.date.accessioned	2014-03-01T01:33:28Z
dc.date.available	2014-03-01T01:33:28Z
dc.date.issued	2010	en
dc.identifier.issn	0013-0915	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20430
dc.subject	blow-up	en
dc.subject	existence	en
dc.subject	filtration equation	en
dc.subject	non-local parabolic problems	en
dc.subject	porous medium	en
dc.subject.classification	Mathematics	en
dc.subject.other	DEGENERATE PARABOLIC EQUATIONS	en
dc.subject.other	ASYMPTOTIC-BEHAVIOR	en
dc.title	Existence and blow-up of solutions for a non-local filtration and porous medium problem	en
heal.type	journalArticle	en
heal.identifier.primary	10.1017/S0013091508000163	en
heal.identifier.secondary	http://dx.doi.org/10.1017/S0013091508000163	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	We consider a non-local filtration equation of the form ut = ΔK(u)+λf(u)(∫Ωf(u)dx)-p and a porous medium equation, in this case K(u) = um, with some boundary and initial data u0, where 0 < p < 1 and f, f′, f″ > 0. We prove blow-up of solutions for sufficiently large values of the parameter λ > 0 and for any u0 > 0, or for sufficiently large values of u0 > 0 and for any λ > 0. © 2010 Edinburgh Mathematical Society.	en
heal.publisher	CAMBRIDGE UNIV PRESS	en
heal.journalName	Proceedings of the Edinburgh Mathematical Society	en
dc.identifier.doi	10.1017/S0013091508000163	en
dc.identifier.isi	ISI:000274173000013	en
dc.identifier.volume	53	en
dc.identifier.issue	1	en
dc.identifier.spage	195	en
dc.identifier.epage	209	en