Generation of interface for an Allen-Cahn equation with nonlinear diffusion

Details Generation of interface for an Allen-Cahn equation with nonlinear diffusion Generation of interface for an Allen-Cahn equation with nonlinear diffusion

2009-09-18

arxiv.org/abs/0909.3503v1

Mathematics

Analysis of PDEs

Scientific paper

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 behavior for small times as the reaction coefficient
tends to infinity: we prove a generation of interface property.

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