55 citations · 122 across the 8 of their papers we have counts for
8 papers · 1 filter
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…
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…
On numerical approximation of the Hamilton-Jacobi-transport system arising in high frequency approximations
Yves Achdou, Fabio Camilli, Lucilla Corrias
In the present article, we study the numerical approximation of a system of Hamilton-Jacobi and transport equations arising in geometrical optics. We consider a semi-Lagrangian sch…
Blow-up, concentration phenomenon and global existence for the Keller-Segel model in high dimension
Vincent Calvez, Lucilla Corrias, Mohammed Abderrahman Ebde
This paper is devoted to the analysis of the classical Keller-Segel system over , . We describe as much as possible the dynamics of the system characterized…