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In this article we study the existence the existence of nonconstant steady state solutions for the following relaxed cross-diffusion systemfórmulawith a bounded smooth domain, n the outer unit normal to @, > 0 denote the relaxation parameter. The functions av, bu account for nonlinear crossdiffusion, being av = 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.Nota general

Artículo de publicación ISI

Author: Lepoutre, Thomas; - Martínez Salazar, Salomé Minerva; -



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