"Rigorous passage to the limit in a system of reaction-diffusion equations towards a system including cross diffusions."

Fiammetta Conforto; Laurent Desvillettes

Abstract :

We present in this work a rigorous passage to the limit (in dimension 1) in a system of three reaction-diffusion equations coming out of population dynamics, towards a system of two reaction-diffusion equations, one of which includes a cross diffusion term.