Homogenization and propagation in the bistable equation

被引：63

作者：

Keener, JP ^{[1
]}

机构：

[1] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA

来源：

PHYSICA D | 2000年 / 136卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

bistable equation; propagation failure; homogenization; resistive inhomogeneity;

D O I：

10.1016/S0167-2789(99)00151-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the standard method to homogenize inhomogeneous resistivity fails to give correct predictions about propagation speed and propagation failure when applied to the bistable equation. This shortcoming is overcome with a more careful look at the averaging theorem. Using a generalized technique, we find an expression for the speed of waves that properly predicts propagation failure due to inhomogeneities. (C)2000 Elsevier Science B.V. All rights reserved.

引用

页码：1 / 17

页数：17

共 12 条

[1]

Aronson D. G., 1975, LECT NOTES MATH, V446, P5

[2] Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics [J].