Stationary solutions to a thermoelastic system on shape memory materials

Takashi Suzuki; Souhei Tasaki

doi:10.1088/0951-7715/23/10/015

Stationary solutions to a thermoelastic system on shape memory materials

Takashi Suzuki, Souhei Tasaki

Creative Interdisciplinary Research Division

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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 language	English
Pages (from-to)	2623-2656
Number of pages	34
Journal	Nonlinearity
Volume	23
Issue number	10
DOIs	https://doi.org/10.1088/0951-7715/23/10/015
Publication status	Published - 2010 Oct 1

ASJC Scopus subject areas

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

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