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.

Bibliographic Details
Main Authors: Jianghao Hao, Li Cai
Format: Article
Language:English
Published: Texas State University 2016-03-01
Series:Electronic Journal of Differential Equations
Subjects:
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.
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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