Boundary stabilization of a linear elastodynamic system with variable coefficients
We consider the boundary stabilization of a linear elastodynamic system, with variables coefficients, by natural feedback. In [5,7]}, Guesmia proved the boundary stabilization of the linear elastodynamic system, with variables coefficients, under restrictive conditions on the shape of the domain and...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Texas State University
2001-12-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2001/78/abstr.html |
| _version_ | 1828292363128143872 |
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| author | Rabah Bey Amar Heminna Jean-Pierre Loheac |
| author_facet | Rabah Bey Amar Heminna Jean-Pierre Loheac |
| author_sort | Rabah Bey |
| collection | DOAJ |
| description | We consider the boundary stabilization of a linear elastodynamic system, with variables coefficients, by natural feedback. In [5,7]}, Guesmia proved the boundary stabilization of the linear elastodynamic system, with variables coefficients, under restrictive conditions on the shape of the domain and on the data of the problem. Here, we propose using local coordinates in the boundary integrals to obtain stability under conditions that are only geometrical and less restrictive than those in [5,7]. We also extend the boundary stabilization result obtained in [2]. |
| first_indexed | 2024-04-13T11:07:14Z |
| format | Article |
| id | doaj.art-f7e723fde29f432aa2466756dee317f1 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-13T11:07:14Z |
| publishDate | 2001-12-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-f7e723fde29f432aa2466756dee317f12022-12-22T02:49:15ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912001-12-01200178123Boundary stabilization of a linear elastodynamic system with variable coefficientsRabah BeyAmar HeminnaJean-Pierre LoheacWe consider the boundary stabilization of a linear elastodynamic system, with variables coefficients, by natural feedback. In [5,7]}, Guesmia proved the boundary stabilization of the linear elastodynamic system, with variables coefficients, under restrictive conditions on the shape of the domain and on the data of the problem. Here, we propose using local coordinates in the boundary integrals to obtain stability under conditions that are only geometrical and less restrictive than those in [5,7]. We also extend the boundary stabilization result obtained in [2].http://ejde.math.txstate.edu/Volumes/2001/78/abstr.htmlelastodynamic systemelasticityboundary stabilizationfeedback. |
| spellingShingle | Rabah Bey Amar Heminna Jean-Pierre Loheac Boundary stabilization of a linear elastodynamic system with variable coefficients Electronic Journal of Differential Equations elastodynamic system elasticity boundary stabilization feedback. |
| title | Boundary stabilization of a linear elastodynamic system with variable coefficients |
| title_full | Boundary stabilization of a linear elastodynamic system with variable coefficients |
| title_fullStr | Boundary stabilization of a linear elastodynamic system with variable coefficients |
| title_full_unstemmed | Boundary stabilization of a linear elastodynamic system with variable coefficients |
| title_short | Boundary stabilization of a linear elastodynamic system with variable coefficients |
| title_sort | boundary stabilization of a linear elastodynamic system with variable coefficients |
| topic | elastodynamic system elasticity boundary stabilization feedback. |
| url | http://ejde.math.txstate.edu/Volumes/2001/78/abstr.html |
| work_keys_str_mv | AT rabahbey boundarystabilizationofalinearelastodynamicsystemwithvariablecoefficients AT amarheminna boundarystabilizationofalinearelastodynamicsystemwithvariablecoefficients AT jeanpierreloheac boundarystabilizationofalinearelastodynamicsystemwithvariablecoefficients |