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

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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

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

Abstract
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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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