2 papers
math.AP2009
Generation of interface for an Allen-Cahn equation with nonlinear diffusion
Matthieu Alfaro, Danielle Hilhorst
In this note, we consider a nonlinear diffusion equation with a bistable reaction term arising in population dynamics. Given a rather general initial data, we investigate its behav…
math.AP2009
The Singular Limit of a Chemotaxis-Growth System with General Initial Data
Matthieu Alfaro
We study the singular limit of a system of partial differential equations which is a model for an aggregation of amoebae subjected to three effects: diffusion, growth and chemotaxi…