Asymptotic behaviour and blow-up for a nonlinear diffusion problem with a non-local source term

Kavallaris, NI

dc.contributor.author	Kavallaris, NI	en
dc.date.accessioned	2014-03-01T02:42:30Z
dc.date.available	2014-03-01T02:42:30Z
dc.date.issued	2004	en
dc.identifier.issn	0013-0915	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/31023
dc.subject	Asymptotic behaviour	en
dc.subject	Blow-up	en
dc.subject	Non-local parabolic problems	en
dc.subject.classification	Mathematics	en
dc.subject.other	VARIABLE THERMAL-CONDUCTIVITY	en
dc.subject.other	GLOBAL-SOLUTIONS	en
dc.subject.other	EQUATIONS	en
dc.subject.other	BOUNDEDNESS	en
dc.title	Asymptotic behaviour and blow-up for a nonlinear diffusion problem with a non-local source term	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1017/S0013091503000658	en
heal.identifier.secondary	http://dx.doi.org/10.1017/S0013091503000658	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	In this work, the behaviour of solutions for the Dirichlet problem of the non-local equation u(t) = Delta(kappa(u)) + lambdaf(u)/(integral(Omega)f(u) dx)(p) , Omega subset of R-N, N = 1, 2, is studied, mainly for the case where f(s) = e(kappa)((s)). More precisely, the interplay of exponent p of the non-local term and spatial dimension N is investigated with regard to the existence and non-existence of solutions of the associated steady-state problem as well as the global existence and finite-time blow-up of the time-dependent solutions u(x, t). The asymptotic stability of the steady-state solutions is also studied.	en
heal.publisher	CAMBRIDGE UNIV PRESS	en
heal.journalName	Proceedings of the Edinburgh Mathematical Society	en
dc.identifier.doi	10.1017/S0013091503000658	en
dc.identifier.isi	ISI:000222857300010	en
dc.identifier.volume	47	en
dc.identifier.issue	2	en
dc.identifier.spage	375	en
dc.identifier.epage	395	en