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 |
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Pages (from-to) | 2623-2656 |
Number of pages | 34 |
Journal | Nonlinearity |
Volume | 23 |
Issue number | 10 |
DOIs | |
Publication status | Published - 2010 Oct |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)
- Applied Mathematics