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Stability of the steady state for the Falk model system of shape memory alloys

✍ Scribed by Takashi Suzuki; Shuji Yoshikawa

Publisher: John Wiley and Sons
Year: 2007
Tongue: English
Weight: 143 KB
Volume: 30
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.889

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✦ Synopsis

Abstract

In this article a stability result for the Falk model system is proven. The Falk model system describes the martensitic phase transitions in shape memory alloys. In our setting, the steady state is a nonlocal elliptic problem. We show the dynamical stability for the linearized stable critical point of the corresponding functional. Copyright © 2007 John Wiley & Sons, Ltd.

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