A new optimal and general stability result for a thermoelastic Bresse system with Maxwell–Cattaneo heat conduction

A new optimal and general stability result for a thermoelastic Bresse system with Maxwell–Cattaneo heat conduction

The present paper investigates the stability of a one-dimensional thermoelastic-Bresse system, where viscoelastic damping is acting on the vertical angle displacement and thermal dissipation governed by Maxwell–Cattaneo’s law is effective on the shear angle displacement. Assuming very general condit...

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Bibliographic Details
Main Author: Soh Edwin Mukiawa
Format: Article
Language:English
Published: Elsevier 2021-05-01
Series:Results in Applied Mathematics
Subjects:
General decay
Optimal decay
Maxwell–Cattaneo heat conduction
Bresse system
Viscoelastic law
Convexity
Online Access:http://www.sciencedirect.com/science/article/pii/S2590037421000121
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spelling doaj-a0d1078c1e00427fb965c91d3d381f042021-05-28T05:04:14ZengElsevierResults in Applied Mathematics2590-03742021-05-0110100152A new optimal and general stability result for a thermoelastic Bresse system with Maxwell–Cattaneo heat conductionSoh Edwin Mukiawa0Department of Mathematics, University of Hafr Al Batin, Hafr Al Batin 31991, Saudi ArabiaThe present paper investigates the stability of a one-dimensional thermoelastic-Bresse system, where viscoelastic damping is acting on the vertical angle displacement and thermal dissipation governed by Maxwell–Cattaneo’s law is effective on the shear angle displacement. Assuming very general conditions on the memory term and physical parameters, we show that the solution energy has a general and optimal decay estimate from which the exponential and polynomial decay estimates are only particular cases.http://www.sciencedirect.com/science/article/pii/S2590037421000121General decayOptimal decayMaxwell–Cattaneo heat conductionBresse systemViscoelastic lawConvexity
collection DOAJ
language English
format Article
sources DOAJ
author Soh Edwin Mukiawa
spellingShingle Soh Edwin Mukiawa
A new optimal and general stability result for a thermoelastic Bresse system with Maxwell–Cattaneo heat conduction
Results in Applied Mathematics
General decay
Optimal decay
Maxwell–Cattaneo heat conduction
Bresse system
Viscoelastic law
Convexity
author_facet Soh Edwin Mukiawa
author_sort Soh Edwin Mukiawa
title A new optimal and general stability result for a thermoelastic Bresse system with Maxwell–Cattaneo heat conduction
title_short A new optimal and general stability result for a thermoelastic Bresse system with Maxwell–Cattaneo heat conduction
title_full A new optimal and general stability result for a thermoelastic Bresse system with Maxwell–Cattaneo heat conduction
title_fullStr A new optimal and general stability result for a thermoelastic Bresse system with Maxwell–Cattaneo heat conduction
title_full_unstemmed A new optimal and general stability result for a thermoelastic Bresse system with Maxwell–Cattaneo heat conduction
title_sort new optimal and general stability result for a thermoelastic bresse system with maxwell–cattaneo heat conduction
publisher Elsevier
series Results in Applied Mathematics
issn 2590-0374
publishDate 2021-05-01
description The present paper investigates the stability of a one-dimensional thermoelastic-Bresse system, where viscoelastic damping is acting on the vertical angle displacement and thermal dissipation governed by Maxwell–Cattaneo’s law is effective on the shear angle displacement. Assuming very general conditions on the memory term and physical parameters, we show that the solution energy has a general and optimal decay estimate from which the exponential and polynomial decay estimates are only particular cases.
topic General decay
Optimal decay
Maxwell–Cattaneo heat conduction
Bresse system
Viscoelastic law
Convexity
url http://www.sciencedirect.com/science/article/pii/S2590037421000121
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AT sohedwinmukiawa newoptimalandgeneralstabilityresultforathermoelasticbressesystemwithmaxwellcattaneoheatconduction
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