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math.AP2009
Motion by anisotropic mean curvature as sharp interface limit of an inhomogeneous and anisotropic Allen-Cahn equation
Matthieu Alfaro, Harald Garcke, Danielle Hilhorst +2
We study the singular limit of a spatially inhomogeneous and anisotropic reaction-diffusion equation. We use a Finsler metric related to the anisotropic diffusion term and work in…
math.AP2007★ 8 cited
The singular limit of the Allen-Cahn equation and the FitzHugh-Nagumo system
Matthieu Alfaro, Danielle Hilhorst, Hiroshi Matano
We consider an Allen-Cahn type equation with a bistable nonlinearity associated to a double-well potential whose well-depths can be slightly unbalanced, and where the coefficient o…