PHASE-FIELD THEORY FOR FITZHUGH-NAGUMO-TYPE SYSTEMS

Authors
SORAVIA P SOUGANIDIS PE
Citation
P. Soravia et Pe. Souganidis, PHASE-FIELD THEORY FOR FITZHUGH-NAGUMO-TYPE SYSTEMS, SIAM journal on mathematical analysis, 27(5), 1996, pp. 1341-1359
Citations number
42
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis → ACNP
ISSN journal
00361410
Volume
27
Issue
5
Year of publication
1996
Pages
1341 - 1359
Database
ISI
SICI code
0036-1410(1996)27:5<1341:PTFFS>2.0.ZU;2-R
Abstract
In this paper, we study the asymptotics of Fitzhugh-Nagumo-type system s of reaction-diffusion equations with bistable nonlinearity. In the l imit, we obtain an interface moving with normal velocity determined by the dynamics and the scaling.