Global solutions to a model of structural phase transitions in shape memory alloys
✍ Scribed by Marek Niezgódka; Songmu Zheng; Jürgen Sprekels
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 661 KB
- Volume
- 130
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
## Communicated by B. Brosowski The non-linear coupled equations arising from alloy mechanism have two important features: a may take negative values and c may be degenerate. The local existence has been proved in Reference 1, but the uniqueness was open. In this paper the uniqueness is proved.
Existence of travelling wave solutions for a system of nonlinear partial differential equations describing the evolution of shape memory alloys is shown. In the isothermal case we state a theorem which characterizes under which conditions travelling wave solutions exist. In the nonisothermal case we
In this paper, we prove the existence and uniqueness of the solution to the one-dimensional initialboundary value problem resulting from the Fr6mond thermomechanical model of structural phase transitions in shape memory materials. In this model, the free energy is assumed to depend on temperature, m