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.
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页码：103 / 124
页数：22
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