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

Pages: 798 - 808, Issue Special, July 2003

 Abstract        Full Text (195.1K)              

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

Abstract: 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:  Global attractor, one-dimensional Fremond model, shape memory alloys.
Mathematics Subject Classification:  Primary: 35B41, 93D20; Secondary: 82B26.

Received: September 2002;      Revised: March 2003;      Published: April 2003.