On the global well-posedness of 2-D Boussinesq system with variable viscosity

被引：24

作者：

Abidi, Hammadi ^{[1
]}

Zhang, Ping ^{[2
,3
,4
]}

机构：

[1] Fac Sci Tunis, Dept Math, Campus Univ, Tunis 2092, Tunisia

[2] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[3] Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China

[4] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

来源：

ADVANCES IN MATHEMATICS | 2017年 / 305卷

关键词：

Boussinesq systems; Littlewood-Paley theory; Variable viscosity; NAVIER-STOKES EQUATIONS; FRACTIONAL LAPLACIANS;

D O I：

10.1016/j.aim.2016.09.036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the global well-posedness of 2-D Boussinesq system, which has variable kinematic viscosity and with thermal conductivity of vertical bar D vertical bar theta, with general initial data provided that the viscosity coefficient is sufficiently close to some positive constant in L proportional to norm. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：1202 / 1249

页数：48

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