Stationary solutions to a thermoelastic system on shape memory materials

Takashi Suzuki, Souhei Tasaki

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We study a system of partial differential equations concerning thermoelastic bodies with shape memory. The adiabatic stationary state is formulated as a nonlinear eigenvalue problem with nonlocal terms associated with the total energy. Then the variational structures, the existence of the stationary solutions, their stability and the bifurcation of the solution are studied.

Original languageEnglish
Pages (from-to)2623-2656
Number of pages34
JournalNonlinearity
Volume23
Issue number10
DOIs
Publication statusPublished - 2010 Oct 1

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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