American Institute of Mathematical Sciences

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2003, 2003(Special): 798-808. doi: 10.3934/proc.2003.2003.798

Asymptotic stability for dynamical systems associated with the one-dimensional Frémond model of shape memory alloys

Ken Shirakawa 1,

1. 

Department of Information Environment Design and Integration, School of Information Environment, Tokyo Denki University, 2-1200 Muzai Gakuendai, Inzai Chiba, 270-1382, Japan

Received  September 2002 Revised  March 2003 Published  April 2003

In this paper, an evolution dynamical system, which is generated by one-dimensional Frémond models of shape memory alloys, is considered. Assuming that forcing terms converge to some time-independent terms in appropriate senses as time goes to infinity, we shall characterize the asymptotic stability for our dynamical system by the global attractor for the limiting autonomous dynamical system.
Keywords: shape memory alloys., Global attractor, one-dimensional Fremond model.
Mathematics Subject Classification: Primary: 35B41, 93D20; Secondary: 82B2.
Citation: Ken Shirakawa. Asymptotic stability for dynamical systems associated with the one-dimensional Frémond model of shape memory alloys. Conference Publications, 2003, 2003 (Special) : 798-808. doi: 10.3934/proc.2003.2003.798
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