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
收藏
页码：326 / 349
页数：24
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