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

doi:10.1016/j.jmaa.2014.09.024

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Authors

Xu, F.

Yuan, J.

Wu, Yong Hong

Date

2014

Type

Journal Article

Metadata

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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.

Source Title

Journal of Mathematical Analysis and Applications

DOI

10.1016/j.jmaa.2014.09.024

ISSN

0022247X

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/4631

Collection

Curtin Research Publications

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.