Exponential stability of a Von Karman model with thermal effects

Exponential stability of a Von Karman model with thermal effects

A one-dimensional Von Karman model with thermal effects is studied. We derive the equations that constitute the mathematical model, and prove existence and uniqueness of a global solution. Then using Lyapunov functions, we show that solutions decay exponentially.

Bibliographic Details
Main Authors: Assia Benabdallah, Djamel Teniou
Format: Article
Language:English
Published: Texas State University 1998-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Thermoelastic systems
Von Karman
asymptotic behaviour
exponential stability
semigroup
Lyapunov function.
Online Access:http://ejde.math.txstate.edu/Volumes/1998/07/abstr.html
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spelling doaj-77f897d75b7e4bd1abda93676b31f6512020-11-24T22:51:55ZengTexas State UniversityElectronic Journal of Differential Equations1072-66911998-02-01199807113Exponential stability of a Von Karman model with thermal effectsAssia BenabdallahDjamel TeniouA one-dimensional Von Karman model with thermal effects is studied. We derive the equations that constitute the mathematical model, and prove existence and uniqueness of a global solution. Then using Lyapunov functions, we show that solutions decay exponentially. http://ejde.math.txstate.edu/Volumes/1998/07/abstr.htmlThermoelastic systemsVon Karmanasymptotic behaviourexponential stabilitysemigroupLyapunov function.
collection DOAJ
language English
format Article
sources DOAJ
author Assia Benabdallah
Djamel Teniou
spellingShingle Assia Benabdallah
Djamel Teniou
Exponential stability of a Von Karman model with thermal effects
Electronic Journal of Differential Equations
Thermoelastic systems
Von Karman
asymptotic behaviour
exponential stability
semigroup
Lyapunov function.
author_facet Assia Benabdallah
Djamel Teniou
author_sort Assia Benabdallah
title Exponential stability of a Von Karman model with thermal effects
title_short Exponential stability of a Von Karman model with thermal effects
title_full Exponential stability of a Von Karman model with thermal effects
title_fullStr Exponential stability of a Von Karman model with thermal effects
title_full_unstemmed Exponential stability of a Von Karman model with thermal effects
title_sort exponential stability of a von karman model with thermal effects
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 1998-02-01
description A one-dimensional Von Karman model with thermal effects is studied. We derive the equations that constitute the mathematical model, and prove existence and uniqueness of a global solution. Then using Lyapunov functions, we show that solutions decay exponentially.
topic Thermoelastic systems
Von Karman
asymptotic behaviour
exponential stability
semigroup
Lyapunov function.
url http://ejde.math.txstate.edu/Volumes/1998/07/abstr.html
work_keys_str_mv AT assiabenabdallah exponentialstabilityofavonkarmanmodelwiththermaleffects
AT djamelteniou exponentialstabilityofavonkarmanmodelwiththermaleffects
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