Uniform decay of solutions for coupled viscoelastic wave equations
In this article, we consider a system of two coupled viscoelastic equations with Dirichlet boundary conditions. By using the perturbed energy method, we obtain a general decay result which depends on the behavior of the relaxation functions and source terms.
Main Authors: | , |
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Format: | Article |
Language: | English |
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Texas State University
2016-03-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Volumes/2016/72/abstr.html |
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author | Jianghao Hao Li Cai |
author_facet | Jianghao Hao Li Cai |
author_sort | Jianghao Hao |
collection | DOAJ |
description | In this article, we consider a system of two coupled viscoelastic
equations with Dirichlet boundary conditions. By using the perturbed
energy method, we obtain a general decay result which depends on the
behavior of the relaxation functions and source terms. |
first_indexed | 2024-04-14T08:27:16Z |
format | Article |
id | doaj.art-9bd57dced3914a1ebc688cbe5a5c1e41 |
institution | Directory Open Access Journal |
issn | 1072-6691 |
language | English |
last_indexed | 2024-04-14T08:27:16Z |
publishDate | 2016-03-01 |
publisher | Texas State University |
record_format | Article |
series | Electronic Journal of Differential Equations |
spelling | doaj.art-9bd57dced3914a1ebc688cbe5a5c1e412022-12-22T02:04:01ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912016-03-01201672,111Uniform decay of solutions for coupled viscoelastic wave equationsJianghao Hao0Li Cai1 Shanxi Univ., Taiyuan, China Shanxi Univ., Taiyuan, China In this article, we consider a system of two coupled viscoelastic equations with Dirichlet boundary conditions. By using the perturbed energy method, we obtain a general decay result which depends on the behavior of the relaxation functions and source terms.http://ejde.math.txstate.edu/Volumes/2016/72/abstr.htmlCoupled viscoelastic wave equationsrelaxation functionsuniform decay |
spellingShingle | Jianghao Hao Li Cai Uniform decay of solutions for coupled viscoelastic wave equations Electronic Journal of Differential Equations Coupled viscoelastic wave equations relaxation functions uniform decay |
title | Uniform decay of solutions for coupled viscoelastic wave equations |
title_full | Uniform decay of solutions for coupled viscoelastic wave equations |
title_fullStr | Uniform decay of solutions for coupled viscoelastic wave equations |
title_full_unstemmed | Uniform decay of solutions for coupled viscoelastic wave equations |
title_short | Uniform decay of solutions for coupled viscoelastic wave equations |
title_sort | uniform decay of solutions for coupled viscoelastic wave equations |
topic | Coupled viscoelastic wave equations relaxation functions uniform decay |
url | http://ejde.math.txstate.edu/Volumes/2016/72/abstr.html |
work_keys_str_mv | AT jianghaohao uniformdecayofsolutionsforcoupledviscoelasticwaveequations AT licai uniformdecayofsolutionsforcoupledviscoelasticwaveequations |