Hyperbolic Relaxation of a Fourth Order Evolution Equation
We propose a hyperbolic relaxation of a fourth order evolution equation, with an inertial term , where . We prove the existence of several absorbing sets having different regularities and the existence of a global attractor that is bounded in .
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/372726 |
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| _version_ | 1832546527297404928 |
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| author | Renato Colucci Gerardo R. Chacón |
| author_facet | Renato Colucci Gerardo R. Chacón |
| author_sort | Renato Colucci |
| collection | DOAJ |
| description | We propose a hyperbolic relaxation of a fourth order evolution equation,
with an inertial term , where . We prove the existence of several absorbing sets having different regularities and the existence of a global attractor that is bounded in . |
| format | Article |
| id | doaj-art-54fdd655e36646b5a811f24aa5b21c50 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-54fdd655e36646b5a811f24aa5b21c502025-02-03T06:48:36ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/372726372726Hyperbolic Relaxation of a Fourth Order Evolution EquationRenato Colucci0Gerardo R. Chacón1Departamento de Matemáticas, Pontificia Universidad Javeriana, Cra. 7 No. 43-82, Bogotá, ColombiaDepartamento de Matemáticas, Pontificia Universidad Javeriana, Cra. 7 No. 43-82, Bogotá, ColombiaWe propose a hyperbolic relaxation of a fourth order evolution equation, with an inertial term , where . We prove the existence of several absorbing sets having different regularities and the existence of a global attractor that is bounded in .http://dx.doi.org/10.1155/2013/372726 |
| spellingShingle | Renato Colucci Gerardo R. Chacón Hyperbolic Relaxation of a Fourth Order Evolution Equation Abstract and Applied Analysis |
| title | Hyperbolic Relaxation of a Fourth Order Evolution Equation |
| title_full | Hyperbolic Relaxation of a Fourth Order Evolution Equation |
| title_fullStr | Hyperbolic Relaxation of a Fourth Order Evolution Equation |
| title_full_unstemmed | Hyperbolic Relaxation of a Fourth Order Evolution Equation |
| title_short | Hyperbolic Relaxation of a Fourth Order Evolution Equation |
| title_sort | hyperbolic relaxation of a fourth order evolution equation |
| url | http://dx.doi.org/10.1155/2013/372726 |
| work_keys_str_mv | AT renatocolucci hyperbolicrelaxationofafourthorderevolutionequation AT gerardorchacon hyperbolicrelaxationofafourthorderevolutionequation |