Instability of local deformations of an elastic rod

S. Lafortune, J. Lega

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)103-124
Number of pages22
JournalPhysica D: Nonlinear Phenomena
Volume182
Issue number1-2
DOIs
StatePublished - Aug 1 2003

Keywords

  • Elastic rod
  • Evans function
  • Klein-Gordon equations

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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