Global well-posedness for 2D Boussinesq system with general supercritical dissipation

被引：8

作者：

Fang, Daoyuan ^{[1
]}

Qian, Chenyin ^{[1
]}

Zhang, Ting ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2016年 / 27卷

基金：

中国国家自然科学基金;

关键词：

2D Boussinesq equations; Well-posedness; Blow-up criterion; EQUATIONS; REGULARITY; EXISTENCE;

D O I：

10.1016/j.nonrwa.2015.08.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the 2D incompressible generalized Boussinesq system with the general supercritical dissipation. Using the Fourier localization method, we obtain the local and global well-posedness for the system, and give some blow-up criterion with the velocity or the temperature. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：326 / 349

页数：24

共 33 条

[1] On the global well-posedness for Boussinesq system [J].

Abidi, H. ;

Hmidi, T. .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 233 (01) :199-220

[2] Global regularity results for the 2D Boussinesq equations with vertical dissipation [J].

Adhikari, Dhanapati ;

Cao, Chongsheng ;

Wu, Jiahong .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 251 (06) :1637-1655

[3] The 2D Boussinesq equations with vertical viscosity and vertical diffusivity [J].

Adhikari, Dhanapati ;

Cao, Chongsheng ;

Wu, Jiahong .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 249 (05) :1078-1088

[4]

[Anonymous], 2012, LITTLEWOOD PALEY THE

[5]

Bahouri H., 2011, GRUNDLEHREN MATH WIS, V343

[6] Non-planar fronts in Boussinesq reactive flows [J].

Berestycki, Henri ;

Constantin, Peter ;

Ryzhik, Lenya .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2006, 23 (04) :407-437

[7] Optimal Transport, Convection, Magnetic Relaxation and Generalized Boussinesq Equations [J].

Brenier, Yann .

JOURNAL OF NONLINEAR SCIENCE, 2009, 19 (05) :547-570

[8]

Cannon J., 1980, Lecture Notes in Math., V771, P129

[9] Global Regularity for the Two-Dimensional Anisotropic Boussinesq Equations with Vertical Dissipation [J].

Cao, Chongsheng ;

Wu, Jiahong .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2013, 208 (03) :985-1004

[10] Local existence and blow-up criterion for the Boussinesq equations [J].

Chae, D ;

Nam, HS .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1997, 127 :935-946

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