Collapsing steady states of the Keller-Segel system

Author	dc.contributor.author	Pino Manresa, Manuel del
Author	dc.contributor.author	Wei, Juncheng	es_CL
Admission date	dc.date.accessioned	2009-03-26T17:06:37Z
Available date	dc.date.available	2009-03-26T17:06:37Z
Publication date	dc.date.issued	2006-03
Cita de ítem	dc.identifier.citation	NONLINEARITY Volume: 19 Issue: 3 Pages: 661-684 Published: MAR 2006	en
Identifier	dc.identifier.issn	0951-7715
Identifier	dc.identifier.uri	https://repositorio.uchile.cl/handle/2250/124820
Abstract	dc.description.abstract	We consider the boundary value problem: Delta u - au + epsilon(2)e(u) = 0, u > 0 in Omega, sigma u/sigma v = 0 on sigma Omega, which is equivalent to the stationary Keller-Segel system from chemotaxis. Here Omega subset of R-2 is a smooth and bounded domain. We show that given any two non-negative integers k, l with k + l >= 1, for e sufficiently small, there exists a solution u(epsilon) for which epsilon(2)e(u epsilon) develops asymptotically k interior Dirac deltas with weight 8 pi and l boundary deltas with weight 4 pi. Location of blow-up points is characterized explicitly in terms of Green's function of the Neumann problem.	en
Lenguage	dc.language.iso	en	en
Publisher	dc.publisher	IOP PUBLISHING LTD	en
Keywords	dc.subject	PERTURBED NEUMANN PROBLEMS	en
Título	dc.title	Collapsing steady states of the Keller-Segel system	en
Document type	dc.type	Artículo de revista