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

被引：7

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

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