Spectral stability of local deformations of an elastic rod: Hamiltonian formalism

S. Lafortune, J. Lega

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

Hamiltonian methods are used to obtain a necessary and sufficient condition for the spectral stability of pulse solutions to two coupled nonlinear Klein-Gordon equations. These equations describe the near-threshold dynamics of an elastic rod with circular cross section. The present work completes and extends a recent analysis of the authors' [Phys. D, 182 (2003), pp. 103-124], in which a sufficient condition for the instability of "nonrotating" pulses was found by means of Evans function techniques.

Original languageEnglish (US)
Pages (from-to)1726-1741
Number of pages16
JournalSIAM Journal on Mathematical Analysis
Volume36
Issue number6
DOIs
StatePublished - Nov 25 2005

    Fingerprint

Keywords

  • Elastic filament
  • Hamiltonian methods
  • Spectral stability

ASJC Scopus subject areas

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

Cite this