55 citations · 122 across the 8 of their papers we have counts for
10 papers
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…
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…
A differential model for growing sandpiles on networks
Simone Cacace, Fabio Camilli, Lucilla Corrias
We consider a system of differential equations of Monge-Kantorovich type which describes the equilibrium configurations of granular material poured by a constant source on a networ…
Parabolic models for chemotaxis on weighted networks
Fabio Camilli, Lucilla Corrias
In this work we consider the Keller-Segel model for chemotaxis on networks, both in the doubly parabolic case and in the parabolic-elliptic one. Introducing appropriate transition…
Existence, uniqueness and asymptotic behavior of the solutions to the fully parabolic Keller-Segel system in the plane
Lucilla Corrias, Miguel Escobedo, Julia Matos
In the present article we consider several issues concerning the doubly parabolic Keller-Segel system in the plane, when the initial data belong to critical scaling-invariant Lebes…
Blow-up dynamics of self-attracting diffusive particles driven by competing convexities
V. Calvez, L. Corrias
In this paper, we analyze the dynamics of an particles system evolving according the gradient flow of an energy functional. The particle system is a consistent approximation of…