Geodesic
Generation of Interface for an Allen-Cahn Equation with Nonlinear Diffusion
M. Alfaro1 ; D. Hilhorst2
1 I3M, Université de Montpellier 2, CC051, Place Eugène Bataillon, 34095 Montpellier Cedex 5, France.
2 CNRS et Laboratoire de Mathématiques, Université de Paris-Sud 11, 91405 Orsay Cedex, France.
Mathematical modelling of natural phenomena, Tome 5 (2010) no. 5, pp. 1-12.

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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.
DOI : 10.1051/mmnp/20105501

M. Alfaro 1 ; D. Hilhorst 2

1 I3M, Université de Montpellier 2, CC051, Place Eugène Bataillon, 34095 Montpellier Cedex 5, France.
2 CNRS et Laboratoire de Mathématiques, Université de Paris-Sud 11, 91405 Orsay Cedex, France. 
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M. Alfaro; D. Hilhorst. Generation of Interface for an Allen-Cahn Equation with Nonlinear Diffusion. Mathematical modelling of natural phenomena, Tome 5 (2010) no. 5, pp. 1-12. doi : 10.1051/mmnp/20105501. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105501/

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