Artículos de revistas
Steady state analysis for a relaxed cross diffusion model
Fecha
2014Registro en:
Discrete and Continuous Dynamical Systems February 2014, 34 (2): p. 613-633
doi:10.3934/dcds.2014.34.613
Autor
Lepoutre, Thomas
Martínez Salazar, Salomé
Institución
Resumen
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.