Exponential Stability and Global Attractors for a Thermoelastic Bresse System

<p/> <p>We consider the stability properties for thermoelastic Bresse system which describes the motion of a linear planar shearable thermoelastic beam. The system consists of three wave equations and two heat equations coupled in certain pattern. The two wave equations about the longitu...

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Main Author:	Ma Zhiyong
Format:	Article
Language:	English
Published:	SpringerOpen 2010-01-01
Series:	Advances in Difference Equations
Online Access:	http://www.advancesindifferenceequations.com/content/2010/748789

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spelling	doaj-6a7709e3dffe47d6ac3d4e75712294af2020-11-24T20:58:11ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472010-01-0120101748789Exponential Stability and Global Attractors for a Thermoelastic Bresse SystemMa Zhiyong<p/> <p>We consider the stability properties for thermoelastic Bresse system which describes the motion of a linear planar shearable thermoelastic beam. The system consists of three wave equations and two heat equations coupled in certain pattern. The two wave equations about the longitudinal displacement and shear angle displacement are effectively damped by the dissipation from the two heat equations. We use multiplier techniques to prove the exponential stability result when the wave speed of the vertical displacement coincides with the wave speed of the longitudinal or of the shear angle displacement. Moreover, the existence of the global attractor is firstly achieved.</p> http://www.advancesindifferenceequations.com/content/2010/748789
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ma Zhiyong
spellingShingle	Ma Zhiyong Exponential Stability and Global Attractors for a Thermoelastic Bresse System Advances in Difference Equations
author_facet	Ma Zhiyong
author_sort	Ma Zhiyong
title	Exponential Stability and Global Attractors for a Thermoelastic Bresse System
title_short	Exponential Stability and Global Attractors for a Thermoelastic Bresse System
title_full	Exponential Stability and Global Attractors for a Thermoelastic Bresse System
title_fullStr	Exponential Stability and Global Attractors for a Thermoelastic Bresse System
title_full_unstemmed	Exponential Stability and Global Attractors for a Thermoelastic Bresse System
title_sort	exponential stability and global attractors for a thermoelastic bresse system
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1839 1687-1847
publishDate	2010-01-01
description	<p/> <p>We consider the stability properties for thermoelastic Bresse system which describes the motion of a linear planar shearable thermoelastic beam. The system consists of three wave equations and two heat equations coupled in certain pattern. The two wave equations about the longitudinal displacement and shear angle displacement are effectively damped by the dissipation from the two heat equations. We use multiplier techniques to prove the exponential stability result when the wave speed of the vertical displacement coincides with the wave speed of the longitudinal or of the shear angle displacement. Moreover, the existence of the global attractor is firstly achieved.</p>
url	http://www.advancesindifferenceequations.com/content/2010/748789
work_keys_str_mv	AT mazhiyong exponentialstabilityandglobalattractorsforathermoelasticbressesystem
_version_	1716786269129801728

Exponential Stability and Global Attractors for a Thermoelastic Bresse System

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