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

Fuyi Xu; Jia Yuan; Yonghong Wu

doi:10.1016/j.jmaa.2014.09.024

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

Fuyi Xu^*
, Jia Yuan
, Yonghong Wu

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	940-959
Number of pages	20
Journal	Journal of Mathematical Analysis and Applications
Volume	422
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2014.09.024
State	Published - 15 Feb 2015

Keywords

Besov spaces
Bony's paraproduct
Global well-posedness
Littlewood-Paley theory
Loss of regularity estimates

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10.1016/j.jmaa.2014.09.024

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title = "Global well-posedness for the 2D fluid system with the linear Soret effect and Yudovich's type data",

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.",

keywords = "Besov spaces, Bony's paraproduct, Global well-posedness, Littlewood-Paley theory, Loss of regularity estimates",

author = "Fuyi Xu and Jia Yuan and Yonghong Wu",

note = "Publisher Copyright: {\textcopyright} 2014 Elsevier Inc.",

year = "2015",

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T1 - Global well-posedness for the 2D fluid system with the linear Soret effect and Yudovich's type data

AU - Xu, Fuyi

AU - Yuan, Jia

AU - Wu, Yonghong

PY - 2015/2/15

Y1 - 2015/2/15

N2 - 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.

AB - 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.

KW - Besov spaces

KW - Bony's paraproduct

KW - Global well-posedness

KW - Littlewood-Paley theory

KW - Loss of regularity estimates

UR - https://www.scopus.com/pages/publications/84908192312

U2 - 10.1016/j.jmaa.2014.09.024

DO - 10.1016/j.jmaa.2014.09.024

M3 - 文章

AN - SCOPUS:84908192312

SN - 0022-247X

VL - 422

SP - 940

EP - 959

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

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

Abstract

Keywords

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