Steady state analysis for a relaxed cross diffusion model

Author	dc.contributor.author	Lepoutre, Thomas
Author	dc.contributor.author	Martínez Salazar, Salomé	es_CL
Admission date	dc.date.accessioned	2014-12-30T13:22:48Z
Available date	dc.date.available	2014-12-30T13:22:48Z
Publication date	dc.date.issued	2014
Cita de ítem	dc.identifier.citation	Discrete and Continuous Dynamical Systems February 2014, 34 (2): p. 613-633	en_US
Identifier	dc.identifier.other	doi:10.3934/dcds.2014.34.613
Identifier	dc.identifier.uri	https://repositorio.uchile.cl/handle/2250/126842
General note	dc.description	Artículo de publicación ISI	en_US
Abstract	dc.description.abstract	In this article we study the existence the existence of nonconstant steady state solutions for the following relaxed cross-diffusion system [fórmula] with a bounded smooth domain, n the outer unit normal to @ , > 0 denote the relaxation parameter. The functions a(v), b(u) account for nonlinear crossdiffusion, being a(v) = 1 + v-y , b~u) = 1 + u-ñ with y, n > 1 a model example. We give conditions for the stability of constant steady state solutions and we prove that under suitable conditions Turing patterns arise considering as a bifurcation parameter.	en_US
Lenguage	dc.language.iso	en	en_US
Type of license	dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Chile	*
Link to License	dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/cl/	*
Keywords	dc.subject	Cross di usion models	en_US
Título	dc.title	Steady state analysis for a relaxed cross diffusion model	en_US
Document type	dc.type	Artículo de revista

Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Chile