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

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Alfaro, Matthieu
Hilhorst, Danielle
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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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Mathematics - Analysis of PDEs
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