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arXiv · 0909.3503

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

Matthieu Alfaro·Danielle Hilhorst
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Abstract

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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Matthieu Alfaro, Danielle Hilhorst. 2009-09-18. Generation of interface for an Allen-Cahn equation with nonlinear diffusion. https://arxiv.org/abs/0909.3503

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