Global well-posedness for the 2D fluid system with the linear Soret effect and Yudovich’s type data
| dc.contributor.author | Xu, F. | |
| dc.contributor.author | Yuan, J. | |
| dc.contributor.author | Wu, Yong Hong | |
| dc.date.accessioned | 2017-01-30T10:40:26Z | |
| dc.date.available | 2017-01-30T10:40:26Z | |
| dc.date.created | 2015-02-02T20:00:46Z | |
| dc.date.issued | 2014 | |
| dc.identifier.citation | Xu, F. and Yuan, J. and Wu, Y.H. 2014. Global well-posedness for the 2D fluid system with the linear Soret effect and Yudovich’s type data. Journal of Mathematical Analysis and Applications. 422 (2): pp. 940-959. | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11937/4631 | |
| dc.identifier.doi | 10.1016/j.jmaa.2014.09.024 | |
| dc.description.abstract |
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. | |
| dc.publisher | Academic Press | |
| dc.subject | Loss of regularity estimates | |
| dc.subject | Besov spaces | |
| dc.subject | Global well-posedness | |
| dc.subject | Littlewood–Paley theory | |
| dc.subject | Bony’s paraproduct | |
| dc.title | Global well-posedness for the 2D fluid system with the linear Soret effect and Yudovich’s type data | |
| dc.type | Journal Article | |
| dcterms.source.volume | 422 | |
| dcterms.source.number | 2 | |
| dcterms.source.startPage | 940 | |
| dcterms.source.endPage | 959 | |
| dcterms.source.issn | 0022247X | |
| dcterms.source.title | Journal of Mathematical Analysis and Applications | |
| curtin.department | Department of Mathematics and Statistics | |
| curtin.accessStatus | Fulltext not available |