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arXiv:0909.3503 [math.AP]AbstractReferencesReviewsResources

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

Matthieu Alfaro, Danielle Hilhorst

Published 2009-09-18Version 1

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.

Categories: math.AP
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