Finite Dimensional Uniform Attractors for the Nonautonomous Camassa-Holm Equations
We consider the uniform attractors for the three-dimensional nonautonomous Camassa-Holm equations in the periodic box Ω=[0,𝐿]3. Assuming 𝑓=𝑓(𝑥,𝑡)∈𝐿2loc((0,𝑇);𝐷(𝐴−1/2)), we establish the existence of the uniform attractors in 𝐷(𝐴1/2) and 𝐷(𝐴). The fractal dimension is estimated for the kernel section...
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/952657 |
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| author | Delin Wu |
| author_facet | Delin Wu |
| author_sort | Delin Wu |
| collection | DOAJ |
| description | We consider the uniform attractors for the three-dimensional nonautonomous Camassa-Holm equations in the periodic box Ω=[0,𝐿]3. Assuming 𝑓=𝑓(𝑥,𝑡)∈𝐿2loc((0,𝑇);𝐷(𝐴−1/2)), we establish the existence of the uniform attractors in 𝐷(𝐴1/2) and 𝐷(𝐴). The fractal dimension is estimated for the kernel sections of the uniform attractors obtained. |
| format | Article |
| id | doaj-art-ba2c197604724808abe41f949342150b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ba2c197604724808abe41f949342150b2025-02-03T05:58:49ZengWileyAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/952657952657Finite Dimensional Uniform Attractors for the Nonautonomous Camassa-Holm EquationsDelin Wu0College of Science, China Jiliang University, Hangzhou 310018, ChinaWe consider the uniform attractors for the three-dimensional nonautonomous Camassa-Holm equations in the periodic box Ω=[0,𝐿]3. Assuming 𝑓=𝑓(𝑥,𝑡)∈𝐿2loc((0,𝑇);𝐷(𝐴−1/2)), we establish the existence of the uniform attractors in 𝐷(𝐴1/2) and 𝐷(𝐴). The fractal dimension is estimated for the kernel sections of the uniform attractors obtained.http://dx.doi.org/10.1155/2009/952657 |
| spellingShingle | Delin Wu Finite Dimensional Uniform Attractors for the Nonautonomous Camassa-Holm Equations Abstract and Applied Analysis |
| title | Finite Dimensional Uniform Attractors for the Nonautonomous Camassa-Holm Equations |
| title_full | Finite Dimensional Uniform Attractors for the Nonautonomous Camassa-Holm Equations |
| title_fullStr | Finite Dimensional Uniform Attractors for the Nonautonomous Camassa-Holm Equations |
| title_full_unstemmed | Finite Dimensional Uniform Attractors for the Nonautonomous Camassa-Holm Equations |
| title_short | Finite Dimensional Uniform Attractors for the Nonautonomous Camassa-Holm Equations |
| title_sort | finite dimensional uniform attractors for the nonautonomous camassa holm equations |
| url | http://dx.doi.org/10.1155/2009/952657 |
| work_keys_str_mv | AT delinwu finitedimensionaluniformattractorsforthenonautonomouscamassaholmequations |