On the global well-posedness of a generalized 2D Boussinesq equations

被引：6
|
作者：
Jia, Junxiong [1 ,2 ]
Peng, Jigen [1 ,2 ]
Li, Kexue [1 ,2 ]
机构：
[1] Xi An Jiao Tong Univ, Dept Math, Xian 710049, Peoples R China
[2] BCMIIS, Beijing, Peoples R China
来源：
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2015年 / 22卷 / 04期
基金：
中国博士后科学基金; 美国国家科学基金会;
关键词：
Generalized 2D Boussinesq equation; Global regularity; Supercritical Boussinesq equations; Regularization effect; MAXIMUM PRINCIPLE; SYSTEM; VISCOSITY;
D O I：
10.1007/s00030-014-0309-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the global solutions to a generalized 2D Boussinesq equationwith , , , , and . When , , and , where is an explicit function as a technical bound, we prove that the above equation has a global and unique solution in suitable functional space.
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页码：911 / 945
页数：35
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