Stability of the steady state for the Falk model system of shape memory alloys |
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| Authors: | Takashi Suzuki Shuji Yoshikawa |
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| Institution: | 1. Division of Mathematical Science, Department of System Innovation, Graduate School of Engineering Science, Osaka University, Toyonaka 560‐8531, Japan;2. Department of Business Administration, Ube National College of Technology, Ube 755‐8555, JapanDepartment of Business Administration, Ube National College of Technology, Ube 755‐8555, Japan=== |
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| 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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| Keywords: | shape memory elasticity stability phase transition |
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