Exponential Attractor for Lattice System of Nonlinear Boussinesq Equation
We study the lattice dynamical system of a nonlinear Boussinesq equation. We first verify the Lipschitz continuity of the continuous semigroup associated with the system. Then, we provide an estimation of the tail of the difference between two solutions of the system. Finally, we obtain the existenc...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/869621 |
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| _version_ | 1832549793893711872 |
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| author | Min Zhao Shengfan Zhou |
| author_facet | Min Zhao Shengfan Zhou |
| author_sort | Min Zhao |
| collection | DOAJ |
| description | We study the lattice dynamical system of a nonlinear Boussinesq equation. We first verify the Lipschitz continuity of the continuous semigroup associated with the system. Then, we provide an estimation of the tail of the difference between two solutions of the system. Finally, we obtain the existence of an exponential attractor of the system. |
| format | Article |
| id | doaj-art-567d47fb98704391a7426e1cbfc31d1b |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-567d47fb98704391a7426e1cbfc31d1b2025-02-03T06:08:35ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/869621869621Exponential Attractor for Lattice System of Nonlinear Boussinesq EquationMin Zhao0Shengfan Zhou1Department of Mathematics, Zhejiang Normal University, Jinhua 321004, ChinaDepartment of Mathematics, Zhejiang Normal University, Jinhua 321004, ChinaWe study the lattice dynamical system of a nonlinear Boussinesq equation. We first verify the Lipschitz continuity of the continuous semigroup associated with the system. Then, we provide an estimation of the tail of the difference between two solutions of the system. Finally, we obtain the existence of an exponential attractor of the system.http://dx.doi.org/10.1155/2013/869621 |
| spellingShingle | Min Zhao Shengfan Zhou Exponential Attractor for Lattice System of Nonlinear Boussinesq Equation Discrete Dynamics in Nature and Society |
| title | Exponential Attractor for Lattice System of Nonlinear Boussinesq Equation |
| title_full | Exponential Attractor for Lattice System of Nonlinear Boussinesq Equation |
| title_fullStr | Exponential Attractor for Lattice System of Nonlinear Boussinesq Equation |
| title_full_unstemmed | Exponential Attractor for Lattice System of Nonlinear Boussinesq Equation |
| title_short | Exponential Attractor for Lattice System of Nonlinear Boussinesq Equation |
| title_sort | exponential attractor for lattice system of nonlinear boussinesq equation |
| url | http://dx.doi.org/10.1155/2013/869621 |
| work_keys_str_mv | AT minzhao exponentialattractorforlatticesystemofnonlinearboussinesqequation AT shengfanzhou exponentialattractorforlatticesystemofnonlinearboussinesqequation |