3 papers
math.AP2025
On a class of triangular cross-diffusion systems and its fast reaction approximation
Elisabetta Brocchieri, Lucilla Corrias
The purpose of this article is to investigate the emergence of cross-diffusion in the time evolution of two slow-fast species in competition. A class of triangular cross-diffusion…
math.AP2024
Study of a class of triangular starvation driven cross-diffusion systems
Elisabetta Brocchieri, Laurent Desvillettes, Helge Dietert
We study the existence, regularity and uniqueness for a general class of triangular reaction-cross-diffusion systems coming from the study of starvation driven behavior for two spe…
math.AP2020
Evolution of dietary diversity and a starvation driven cross-diffusion system as its singular limit
Elisabetta Brocchieri, Lucilla Corrias, Helge Dietert +1
We rigorously prove the passage from a Lotka-Volterra reaction-diffusion system towards a cross-diffusion system at the fast reaction limit. The system models a competition of two…