Global well-posedness for the 2D fluid system with the linear Soret effect and Yudovich’s type data
In this paper, we are concerned with the Cauchy problem of the two-dimensional (2D) fluid system with the linear Soret effect and Yudovich’s type data. We obtain global unique solution for this system without imposing any smallness conditions on the initial data. Our methods mainly rely upon Littlew...
| Main Authors: | , , |
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| Format: | Journal Article |
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Academic Press
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/4631 |
| _version_ | 1848744570848804864 |
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| author | Xu, F. Yuan, J. Wu, Yong Hong |
| author_facet | Xu, F. Yuan, J. Wu, Yong Hong |
| author_sort | Xu, F. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we are concerned with the Cauchy problem of the two-dimensional (2D) fluid system with the linear Soret effect and Yudovich’s type data. We obtain global unique solution for this system without imposing any smallness conditions on the initial data. Our methods mainly rely upon Littlewood–Paley theory and loss of regularity estimates. |
| first_indexed | 2025-11-14T06:03:34Z |
| format | Journal Article |
| id | curtin-20.500.11937-4631 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:03:34Z |
| publishDate | 2014 |
| publisher | Academic Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-46312017-09-13T14:45:09Z Global well-posedness for the 2D fluid system with the linear Soret effect and Yudovich’s type data Xu, F. Yuan, J. Wu, Yong Hong Loss of regularity estimates Besov spaces Global well-posedness Littlewood–Paley theory Bony’s paraproduct In this paper, we are concerned with the Cauchy problem of the two-dimensional (2D) fluid system with the linear Soret effect and Yudovich’s type data. We obtain global unique solution for this system without imposing any smallness conditions on the initial data. Our methods mainly rely upon Littlewood–Paley theory and loss of regularity estimates. 2014 Journal Article http://hdl.handle.net/20.500.11937/4631 10.1016/j.jmaa.2014.09.024 Academic Press restricted |
| spellingShingle | Loss of regularity estimates Besov spaces Global well-posedness Littlewood–Paley theory Bony’s paraproduct Xu, F. Yuan, J. Wu, Yong Hong Global well-posedness for the 2D fluid system with the linear Soret effect and Yudovich’s type data |
| title | Global well-posedness for the 2D fluid system with the linear Soret effect and Yudovich’s type data |
| title_full | Global well-posedness for the 2D fluid system with the linear Soret effect and Yudovich’s type data |
| title_fullStr | Global well-posedness for the 2D fluid system with the linear Soret effect and Yudovich’s type data |
| title_full_unstemmed | Global well-posedness for the 2D fluid system with the linear Soret effect and Yudovich’s type data |
| title_short | Global well-posedness for the 2D fluid system with the linear Soret effect and Yudovich’s type data |
| title_sort | global well-posedness for the 2d fluid system with the linear soret effect and yudovich’s type data |
| topic | Loss of regularity estimates Besov spaces Global well-posedness Littlewood–Paley theory Bony’s paraproduct |
| url | http://hdl.handle.net/20.500.11937/4631 |