Boundary stabilization of memory-type thermoelastic systems

In this article we consider an n-dimentional thermoelastic system with a viscoelastic damping localized on a part of the boundary. We establish an explicit and general decay rate result that allows a larger class of relaxation functions and generalizes previous results existing in the literature...

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Main Author: Muhammad I. Mustafa
Format: Article
Language:English
Published: Texas State University 2013-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/52/abstr.html
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spelling doaj-8fcda2ae612b46f7ac5bebb7f85fad0e2020-11-24T22:29:08ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-02-01201352,116Boundary stabilization of memory-type thermoelastic systemsMuhammad I. MustafaIn this article we consider an n-dimentional thermoelastic system with a viscoelastic damping localized on a part of the boundary. We establish an explicit and general decay rate result that allows a larger class of relaxation functions and generalizes previous results existing in the literature. http://ejde.math.txstate.edu/Volumes/2013/52/abstr.htmlThermoelasticityviscoelastic dampinggeneral decayconvexity
collection DOAJ
language English
format Article
sources DOAJ
author Muhammad I. Mustafa
spellingShingle Muhammad I. Mustafa
Boundary stabilization of memory-type thermoelastic systems
Electronic Journal of Differential Equations
Thermoelasticity
viscoelastic damping
general decay
convexity
author_facet Muhammad I. Mustafa
author_sort Muhammad I. Mustafa
title Boundary stabilization of memory-type thermoelastic systems
title_short Boundary stabilization of memory-type thermoelastic systems
title_full Boundary stabilization of memory-type thermoelastic systems
title_fullStr Boundary stabilization of memory-type thermoelastic systems
title_full_unstemmed Boundary stabilization of memory-type thermoelastic systems
title_sort boundary stabilization of memory-type thermoelastic systems
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2013-02-01
description In this article we consider an n-dimentional thermoelastic system with a viscoelastic damping localized on a part of the boundary. We establish an explicit and general decay rate result that allows a larger class of relaxation functions and generalizes previous results existing in the literature.
topic Thermoelasticity
viscoelastic damping
general decay
convexity
url http://ejde.math.txstate.edu/Volumes/2013/52/abstr.html
work_keys_str_mv AT muhammadimustafa boundarystabilizationofmemorytypethermoelasticsystems
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