Instability of local deformations of an elastic rod

S. Lafortune, Joceline C Lega

Research output: Contribution to journalArticle

9 Citations (Scopus)

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

Fingerprint

Elastic Rods
Klein-Gordon equation
rods
Evans Function
Nonlinear Klein-Gordon Equation
Klein-Gordon Equation
pulses
Twist
Cross section
Three-dimensional
thresholds
cross sections

Keywords

  • Elastic rod
  • Evans function
  • Klein-Gordon equations

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

Cite this

Instability of local deformations of an elastic rod. / Lafortune, S.; Lega, Joceline C.

In: Physica D: Nonlinear Phenomena, Vol. 182, No. 1-2, 01.08.2003, p. 103-124.

Research output: Contribution to journalArticle

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