Pullback Attractors for Nonautonomous 2D-Navier-Stokes Models with Variable Delays
Using a method based on the concept of the Kuratowski measure of the noncompactness of a bounded set as well as some new estimates of the equicontinuity of the solutions, we prove the existence of a unique pullback attractor in higher regularity space for the multivalued process associated with the...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/425031 |
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| _version_ | 1849414733351878656 |
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| author | Xiaoli Liu Yejuan Wang |
| author_facet | Xiaoli Liu Yejuan Wang |
| author_sort | Xiaoli Liu |
| collection | DOAJ |
| description | Using a method based on the concept of the Kuratowski measure of the noncompactness of a bounded set as well as some new estimates of the equicontinuity of the solutions, we prove the existence of a unique pullback attractor in higher regularity space for the multivalued process associated with the nonautonomous 2D-Navier-Stokes model with delays and without the uniqueness of solutions. |
| format | Article |
| id | doaj-art-72a05ee493b14beaba3c411a47124db2 |
| 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-72a05ee493b14beaba3c411a47124db22025-08-20T03:33:43ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/425031425031Pullback Attractors for Nonautonomous 2D-Navier-Stokes Models with Variable DelaysXiaoli Liu0Yejuan Wang1School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, ChinaSchool of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, ChinaUsing a method based on the concept of the Kuratowski measure of the noncompactness of a bounded set as well as some new estimates of the equicontinuity of the solutions, we prove the existence of a unique pullback attractor in higher regularity space for the multivalued process associated with the nonautonomous 2D-Navier-Stokes model with delays and without the uniqueness of solutions.http://dx.doi.org/10.1155/2013/425031 |
| spellingShingle | Xiaoli Liu Yejuan Wang Pullback Attractors for Nonautonomous 2D-Navier-Stokes Models with Variable Delays Abstract and Applied Analysis |
| title | Pullback Attractors for Nonautonomous 2D-Navier-Stokes Models with Variable Delays |
| title_full | Pullback Attractors for Nonautonomous 2D-Navier-Stokes Models with Variable Delays |
| title_fullStr | Pullback Attractors for Nonautonomous 2D-Navier-Stokes Models with Variable Delays |
| title_full_unstemmed | Pullback Attractors for Nonautonomous 2D-Navier-Stokes Models with Variable Delays |
| title_short | Pullback Attractors for Nonautonomous 2D-Navier-Stokes Models with Variable Delays |
| title_sort | pullback attractors for nonautonomous 2d navier stokes models with variable delays |
| url | http://dx.doi.org/10.1155/2013/425031 |
| work_keys_str_mv | AT xiaoliliu pullbackattractorsfornonautonomous2dnavierstokesmodelswithvariabledelays AT yejuanwang pullbackattractorsfornonautonomous2dnavierstokesmodelswithvariabledelays |