Initial Boundary Value Problem for Two-Dimensional Viscous Boussinesq Equations

被引：143
作者：
Lai, Ming-Jun [1 ]
Pan, Ronghua [2 ]
Zhao, Kun
机构：
[1] Univ Georgia, Dept Math, Athens, GA 30602 USA
[2] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2011年 / 199卷 / 03期
基金：
美国国家科学基金会;
关键词：
BLOW-UP CRITERION; LOCAL EXISTENCE;
D O I：
10.1007/s00205-010-0357-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the initial boundary value problem of two-dimensional viscous Boussinesq equations over a bounded domain with smooth boundary. We show that the equations have a unique classical solution for H(3) initial data and the no-slip boundary condition. In addition, we show that the kinetic energy is uniformly bounded in time.
引用
收藏
页码：739 / 760
页数：22
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