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

Ken Shirakawa

doi:10.3934/proc.2003.2003.798

Article Contents

2003, Volume 2003: 798-808. Doi: 10.3934/proc.2003.2003.798 open access

This issue Previous Article Compactified isospectral sets of complex tridiagonal Hessenberg matrices Next Article Exponential decay of oscillations in a multidimensional delay differential system

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

Received: August 31, 2002

Revised: February 28, 2003

Published: March 2003

Abstract Related Papers Cited by

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:

Mathematics Subject Classification: Primary: 35B41, 93D20; Secondary: 82B26.

Citation:

Article Metrics

HTML views() PDF downloads(44) Cited by(0)

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

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

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

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content