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Traveling Wave Solutions as Dynamic Phase Transitions in Shape Memory Alloys

✍ Scribed by H. Garcke

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
715 KB
Volume
121
Category
Article
ISSN
0022-0396

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✦ Synopsis

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 give an existence proof which uses the Conley index. To obtain this result the involved parameters have to be appropriately small. 1995 Academic Press. Inc.

πŸ“œ SIMILAR VOLUMES

Uniqueness for structural phase transiti
Uniqueness for structural phase transitions in shape memory alloys
✍ K.-H. Hoffmann; Zheng Songmu πŸ“‚ Article πŸ“… 1988 πŸ› John Wiley and Sons 🌐 English βš– 207 KB

## 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.