Steady state analysis for a relaxed cross diffusion model

Chile | Artículos de revistas

dc.creator	Lepoutre, Thomas
dc.creator	Martínez Salazar, Salomé
dc.date.accessioned	2014-12-30T13:22:48Z
dc.date.accessioned	2019-04-25T23:56:13Z
dc.date.available	2014-12-30T13:22:48Z
dc.date.available	2019-04-25T23:56:13Z
dc.date.created	2014-12-30T13:22:48Z
dc.date.issued	2014
dc.identifier	Discrete and Continuous Dynamical Systems February 2014, 34 (2): p. 613-633
dc.identifier	doi:10.3934/dcds.2014.34.613
dc.identifier	http://repositorio.uchile.cl/handle/2250/126842
dc.identifier.uri	http://repositorioslatinoamericanos.uchile.cl/handle/2250/2431166
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.
dc.language	en
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/cl/
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Chile
dc.subject	Cross di usion models
dc.title	Steady state analysis for a relaxed cross diffusion model
dc.type	Artículos de revistas