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Stability of the steady state for the Falk model system of shape memory alloys
Author(s) -
Suzuki Takashi,
Yoshikawa Shuji
Publication year - 2007
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.889
Subject(s) - stability (learning theory) , shape memory alloy , mathematics , state (computer science) , steady state (chemistry) , computer science , algorithm , artificial intelligence , chemistry , machine learning
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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