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.
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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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Article |
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doaj-9bd57dced3914a1ebc688cbe5a5c1e412020-11-24T22:36:08ZengTexas 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Jianghao Hao Li Cai |
| 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 |
| author_facet |
Jianghao Hao Li Cai |
| author_sort |
Jianghao Hao |
| title |
Uniform decay of solutions for coupled viscoelastic wave equations |
| title_short |
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_sort |
uniform decay of solutions for coupled viscoelastic wave equations |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2016-03-01 |
| 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. |
| 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 |
| _version_ |
1725721107686752256 |