Global regularity of solutions of 2D Boussinesq equations with fractional diffusion

被引：56
作者：
Xu, Xiaojing [1 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 02期
关键词：
Fractional diffusion; Regularity; Global existence; Boussinesq equations; BLOW-UP CRITERION; GENERALIZED MHD EQUATIONS; LOCAL EXISTENCE; WELL-POSEDNESS;
D O I：
10.1016/j.na.2009.07.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The goal of this work is to study the Boussinesq equations for an incompressible fluid in R(2). with diffusion modeled by fractional Laplacian. The existence, the uniqueness and the regularity of solution has been proved. (C) 2009 Elsevier Ltd. All rights reserved.
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收藏
页码：677 / 681
页数：5
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