Decay rate of a weakly dissipative viscoelastic plate equation with infinite memory
Abstract In this paper, a weakly dissipative viscoelastic plate equation with an infinite memory is considered. We show a general energy decay rate for a wide class of relaxation functions. To support our theoretical findings, some numerical illustrations are presented at the end. The numerical solu...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-09-01
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| Series: | Arabian Journal of Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/s40065-020-00295-w |
| _version_ | 1818650305973190656 |
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| author | Khaleel Anaya Salim A. Messaoudi Kassem Mustapha |
| author_facet | Khaleel Anaya Salim A. Messaoudi Kassem Mustapha |
| author_sort | Khaleel Anaya |
| collection | DOAJ |
| description | Abstract In this paper, a weakly dissipative viscoelastic plate equation with an infinite memory is considered. We show a general energy decay rate for a wide class of relaxation functions. To support our theoretical findings, some numerical illustrations are presented at the end. The numerical solution is computed using the popular finite element method in space, combined with time-stepping finite differences. |
| first_indexed | 2024-12-17T01:48:07Z |
| format | Article |
| id | doaj.art-5fd2a0ecfcd049b18e83f522fbb1cd4a |
| institution | Directory Open Access Journal |
| issn | 2193-5343 2193-5351 |
| language | English |
| last_indexed | 2024-12-17T01:48:07Z |
| publishDate | 2020-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Arabian Journal of Mathematics |
| spelling | doaj.art-5fd2a0ecfcd049b18e83f522fbb1cd4a2022-12-21T22:08:07ZengSpringerOpenArabian Journal of Mathematics2193-53432193-53512020-09-01101313910.1007/s40065-020-00295-wDecay rate of a weakly dissipative viscoelastic plate equation with infinite memoryKhaleel Anaya0Salim A. Messaoudi1Kassem Mustapha2Department of Mathematics and Statistics, King Fahd University of Petroleum and MineralsDepartment of Mathematics, University of SharjahDepartment of Mathematics and Statistics, King Fahd University of Petroleum and MineralsAbstract In this paper, a weakly dissipative viscoelastic plate equation with an infinite memory is considered. We show a general energy decay rate for a wide class of relaxation functions. To support our theoretical findings, some numerical illustrations are presented at the end. The numerical solution is computed using the popular finite element method in space, combined with time-stepping finite differences.https://doi.org/10.1007/s40065-020-00295-w35B4035L9045K0565M0665M60 |
| spellingShingle | Khaleel Anaya Salim A. Messaoudi Kassem Mustapha Decay rate of a weakly dissipative viscoelastic plate equation with infinite memory Arabian Journal of Mathematics 35B40 35L90 45K05 65M06 65M60 |
| title | Decay rate of a weakly dissipative viscoelastic plate equation with infinite memory |
| title_full | Decay rate of a weakly dissipative viscoelastic plate equation with infinite memory |
| title_fullStr | Decay rate of a weakly dissipative viscoelastic plate equation with infinite memory |
| title_full_unstemmed | Decay rate of a weakly dissipative viscoelastic plate equation with infinite memory |
| title_short | Decay rate of a weakly dissipative viscoelastic plate equation with infinite memory |
| title_sort | decay rate of a weakly dissipative viscoelastic plate equation with infinite memory |
| topic | 35B40 35L90 45K05 65M06 65M60 |
| url | https://doi.org/10.1007/s40065-020-00295-w |
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