Instability of local deformations of an elastic rod

被引：7

作者：

Lafortune, S ^{[1
]}

Lega, J ^{[1
]}

机构：

[1] Univ Arizona, Dept Math, Tucson, AZ 85721 USA

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2003年 / 182卷 / 1-2期

关键词：

elastic rod; Klein-Gordon equations; Evans function;

D O I：

10.1016/S0167-2789(03)00125-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the instability of pulse solutions of two coupled non-linear Klein-Gordon equations by means of Evans function techniques. The system of coupled Klein-Gordon equations considered here describes the near-threshold dynamics of a three-dimensional elastic rod with circular cross-section, subject to constant twist. We determine a condition on the speed of the traveling pulse which ensures spectral instability. (C) 2003 Elsevier Science B.V. All rights reserved.

引用

页码：103 / 124

页数：22

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