Global attractor for the lattice dynamical system of a nonlinear Boussinesq equation
We will study the lattice dynamical system of a nonlinear Boussinesq equation. Our objective is to explore the existence of the global attractor for the solution semiflow of the introduced lattice system and to investigate its upper semicontinuity with respect to a sequence of finite-dimensional app...
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| Format: | Article |
| Language: | English |
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Wiley
2005-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/AAA.2005.655 |
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| _version_ | 1832553174518464512 |
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| author | Ahmed Y. Abdallah |
| author_facet | Ahmed Y. Abdallah |
| author_sort | Ahmed Y. Abdallah |
| collection | DOAJ |
| description | We will study the lattice dynamical system of a nonlinear Boussinesq equation. Our objective is to explore the existence of the global attractor for the solution semiflow of the introduced lattice system and to investigate its upper semicontinuity with respect to a sequence of finite-dimensional approximate systems. As far as we are aware, our result here is the first concerning the lattice dynamical system corresponding to a differential equation of second order in time variable and fourth order in spatial variable with nonlinearity involving the gradients. |
| format | Article |
| id | doaj-art-21a92afbd64c40ef8b7cfdaca66f686d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-21a92afbd64c40ef8b7cfdaca66f686d2025-02-03T05:55:19ZengWileyAbstract and Applied Analysis1085-33751687-04092005-01-012005665567110.1155/AAA.2005.655Global attractor for the lattice dynamical system of a nonlinear Boussinesq equationAhmed Y. Abdallah0Department of Mathematics, University of Jordan, Amman 11942, JordanWe will study the lattice dynamical system of a nonlinear Boussinesq equation. Our objective is to explore the existence of the global attractor for the solution semiflow of the introduced lattice system and to investigate its upper semicontinuity with respect to a sequence of finite-dimensional approximate systems. As far as we are aware, our result here is the first concerning the lattice dynamical system corresponding to a differential equation of second order in time variable and fourth order in spatial variable with nonlinearity involving the gradients.http://dx.doi.org/10.1155/AAA.2005.655 |
| spellingShingle | Ahmed Y. Abdallah Global attractor for the lattice dynamical system of a nonlinear Boussinesq equation Abstract and Applied Analysis |
| title | Global attractor for the lattice dynamical system of a nonlinear Boussinesq equation |
| title_full | Global attractor for the lattice dynamical system of a nonlinear Boussinesq equation |
| title_fullStr | Global attractor for the lattice dynamical system of a nonlinear Boussinesq equation |
| title_full_unstemmed | Global attractor for the lattice dynamical system of a nonlinear Boussinesq equation |
| title_short | Global attractor for the lattice dynamical system of a nonlinear Boussinesq equation |
| title_sort | global attractor for the lattice dynamical system of a nonlinear boussinesq equation |
| url | http://dx.doi.org/10.1155/AAA.2005.655 |
| work_keys_str_mv | AT ahmedyabdallah globalattractorforthelatticedynamicalsystemofanonlinearboussinesqequation |