Global well-posedness for the 2D fluid system with the linear Soret effect and Yudovich’s type data

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...

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Bibliographic Details
Main Authors: Xu, F., Yuan, J., Wu, Yong Hong
Format: Journal Article
Published: Academic Press 2014
Subjects:
Loss of regularity estimates
Besov spaces
Global well-posedness
Littlewood–Paley theory
Bony’s paraproduct
Online Access:http://hdl.handle.net/20.500.11937/4631

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