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20072024
most citedThe singular limit of the Allen-Cahn equation and the FitzHugh-Nagumo system

8 citations · 43 across the 16 of their papers we have counts for

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Showing 2011 · math.APShow all

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math.AP2011★ 1 cited

On the validity of formal asymptotic expansions in Allen-Cahn equation and FitzHugh-Nagumo system with generic initial data

Matthieu Alfaro, Hiroshi Matano

Formal asymptotic expansions have long been used to study the singularly perturbed Allen-Cahn type equations and reaction-diffusion systems, including in particular the FitzHugh-Na…