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math.AP2013★ 1 cited
Bistable travelling waves for nonlocal reaction diffusion equations
Matthieu Alfaro, Jerome Coville, Gael Raoul
We are concerned with travelling wave solutions arising in a reaction diffusion equation with bistable and nonlocal nonlinearity, for which the comparison principle does not hold.…
math.AP2013★ 38 cited
Convergence of a mass conserving Allen-Cahn equation whose Lagrange multiplier is nonlocal and local
Matthieu Alfaro, Pierre Alifrangis
We consider the mass conserving Allen-Cahn equation proposed in \cite{Bra-Bre}: the Lagrange multiplier which ensures the conservation of the mass contains not only nonlocal but al…