15 citations · 27 across the 6 of their papers we have counts for
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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…
math.AP2007★ 15 cited
On long-time dynamics for competition-diffusion systems with inhomogeneous Dirichlet boundary conditions
E. C. M. Crooks, E. N. Dancer, D. Hilhorst
We consider a two-component competition-diffusion system with equal diffusion coefficients and inhomogeneous Dirichlet boundary conditions. When the interspecific competition param…