The Γ-limit of traveling waves in the FitzHugh-Nagumo system

被引：8

作者：

Chen, Chao-Nien ^{[1
]}

Choi, Yung Sze ^{[2
]}

Fusco, Nicola ^{[3
]}

机构：

[1] Natl Tsing Hua Univ, Dept Math, Hsinchu, Taiwan

[2] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

[3] Univ Napoli Federico II, Dipartimento Matemat & Applicaz, Via Cintia, IT-80126 Naples, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年 / 267卷 / 03期

关键词：

Gamma-convergence; FitzHugh-Nagumo; Geometric variational problem; Traveling front; Traveling pulse; STANDING WAVES; EQUATIONS; PATTERNS;

D O I：

10.1016/j.jde.2019.02.023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Patterns and waves are basic and important phenomena that govern the dynamics of physical and biological systems. A common theme in investigating such systems is to identify the intrinsic factors responsible for such self-organization. The Gamma-convergence is a well-known technique applicable to variational formulations of concentration phenomena of stable patterns. Recently a geometric variational functional associated with the Gamma-limit of standing waves of the FitzHugh-Nagumo system has been built. This article studies the Gamma-limit of traveling waves. To the best of our knowledge, this is the first attempt to expand the scope of applicability of Gamma-convergence to cover non-stationary problems. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：1805 / 1835

页数：31

共 35 条

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