A Stability Result for a Swelling Porous System with Nonlinear Boundary Dampings
In this work, we consider a swelling porous system where the damping terms are on the boundary. We establish an explicit and general decay result, without imposing restrictive growth assumption near the origin on the damping terms. Our result allows a larger class of damping terms, and the usual exp...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/8079707 |
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| author | Adel M. Al-Mahdi Salim A. Messaoudi Mohammad M. Al-Gharabli |
| author_facet | Adel M. Al-Mahdi Salim A. Messaoudi Mohammad M. Al-Gharabli |
| author_sort | Adel M. Al-Mahdi |
| collection | DOAJ |
| description | In this work, we consider a swelling porous system where the damping terms are on the boundary. We establish an explicit and general decay result, without imposing restrictive growth assumption near the origin on the damping terms. Our result allows a larger class of damping terms, and the usual exponential and polynomial decay estimates are only special cases. We also give some illustrative examples. |
| format | Article |
| id | doaj-art-195105dfe3db4093a5d68777349de898 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-195105dfe3db4093a5d68777349de8982025-02-03T01:30:03ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/8079707A Stability Result for a Swelling Porous System with Nonlinear Boundary DampingsAdel M. Al-Mahdi0Salim A. Messaoudi1Mohammad M. Al-Gharabli2The Preparatory Year ProgramDepartment of MathematicsThe Preparatory Year ProgramIn this work, we consider a swelling porous system where the damping terms are on the boundary. We establish an explicit and general decay result, without imposing restrictive growth assumption near the origin on the damping terms. Our result allows a larger class of damping terms, and the usual exponential and polynomial decay estimates are only special cases. We also give some illustrative examples.http://dx.doi.org/10.1155/2022/8079707 |
| spellingShingle | Adel M. Al-Mahdi Salim A. Messaoudi Mohammad M. Al-Gharabli A Stability Result for a Swelling Porous System with Nonlinear Boundary Dampings Journal of Function Spaces |
| title | A Stability Result for a Swelling Porous System with Nonlinear Boundary Dampings |
| title_full | A Stability Result for a Swelling Porous System with Nonlinear Boundary Dampings |
| title_fullStr | A Stability Result for a Swelling Porous System with Nonlinear Boundary Dampings |
| title_full_unstemmed | A Stability Result for a Swelling Porous System with Nonlinear Boundary Dampings |
| title_short | A Stability Result for a Swelling Porous System with Nonlinear Boundary Dampings |
| title_sort | stability result for a swelling porous system with nonlinear boundary dampings |
| url | http://dx.doi.org/10.1155/2022/8079707 |
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