Asymptotic behavior for a nonlinear viscoelastic problem with a velocity-dependent material density
We consider a nonlinear viscoelastic problem and prove that the solutions are uniformly bounded and decay exponentially to zero as time goes to infinity. This is established under weaker conditions on the relaxation function than the usually used ones. In particular, we remove the assumptions on the...
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| Format: | Article |
| Language: | English |
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Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.1497 |
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| _version_ | 1832556179436339200 |
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| author | Nasser-Eddine Tatar |
| author_facet | Nasser-Eddine Tatar |
| author_sort | Nasser-Eddine Tatar |
| collection | DOAJ |
| description | We consider a nonlinear viscoelastic problem and prove that the solutions are uniformly bounded and decay exponentially to zero as time goes to infinity. This is established under weaker conditions on the relaxation function than the usually used ones. In particular, we remove the assumptions on the derivative of the kernel. In fact, our kernels are not necessarily differentiable. |
| format | Article |
| id | doaj-art-3c609d83025b4057a5ef4b676eaa4e54 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3c609d83025b4057a5ef4b676eaa4e542025-02-03T05:46:04ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005101497150610.1155/IJMMS.2005.1497Asymptotic behavior for a nonlinear viscoelastic problem with a velocity-dependent material densityNasser-Eddine Tatar0Department of Mathematical Sciences, College of Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaWe consider a nonlinear viscoelastic problem and prove that the solutions are uniformly bounded and decay exponentially to zero as time goes to infinity. This is established under weaker conditions on the relaxation function than the usually used ones. In particular, we remove the assumptions on the derivative of the kernel. In fact, our kernels are not necessarily differentiable.http://dx.doi.org/10.1155/IJMMS.2005.1497 |
| spellingShingle | Nasser-Eddine Tatar Asymptotic behavior for a nonlinear viscoelastic problem with a velocity-dependent material density International Journal of Mathematics and Mathematical Sciences |
| title | Asymptotic behavior for a nonlinear viscoelastic problem with a
velocity-dependent material density |
| title_full | Asymptotic behavior for a nonlinear viscoelastic problem with a
velocity-dependent material density |
| title_fullStr | Asymptotic behavior for a nonlinear viscoelastic problem with a
velocity-dependent material density |
| title_full_unstemmed | Asymptotic behavior for a nonlinear viscoelastic problem with a
velocity-dependent material density |
| title_short | Asymptotic behavior for a nonlinear viscoelastic problem with a
velocity-dependent material density |
| title_sort | asymptotic behavior for a nonlinear viscoelastic problem with a velocity dependent material density |
| url | http://dx.doi.org/10.1155/IJMMS.2005.1497 |
| work_keys_str_mv | AT nassereddinetatar asymptoticbehaviorforanonlinearviscoelasticproblemwithavelocitydependentmaterialdensity |