Phase-Field Theory for FitzHugh–Nagumo-Type Systems

In this paper, we study the asymptotics of Fitzhugh-Nagumo-type systems of reaction-diffusion equations with bistable nonlinearity. In the limit, we obtain an interface moving with normal velocity determined by the dynamics and the scaling.

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Bibliographic Details
Published in:SIAM journal on mathematical analysis 1996-09, Vol.27 (5), p.1341-1359
Main Authors: Soravia, Pierpaolo, Souganidis, Panagiotis E.
Format: Article
Language:English
Subjects:
Applied mathematics
Phase transitions
Velocity
Viscosity
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Summary:In this paper, we study the asymptotics of Fitzhugh-Nagumo-type systems of reaction-diffusion equations with bistable nonlinearity. In the limit, we obtain an interface moving with normal velocity determined by the dynamics and the scaling.
ISSN:0036-1410
1095-7154
DOI:10.1137/S0036141094261318