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Weak solutions for Falk's model of shape memory alloys

✍ Scribed by Toyohiko Aiki

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
154 KB
Volume
23
Category
Article
ISSN
0170-4214

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✦ Synopsis

In this paper we discuss the system of two partial di!erential equations governing the dynamics of phase transitions in shape memory alloys. We consider the one-dimensional model proposed by Falk, in which a term containing a fourth-derivative appears. The main purpose is to show the uniqueness for weak solutions of the problem by using the approximate dual equations for the system without growth condition for the free energy function.

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