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Generation of Interface for an Allen-Cahn Equation with Nonlinear Diffusion
Published online by Cambridge University Press: 27 July 2010
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.
- Type
- Research Article
- Information
- Mathematical Modelling of Natural Phenomena , Volume 5 , Issue 5: Reaction-diffusion waves , 2010 , pp. 1 - 12
- Copyright
- © EDP Sciences, 2010
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