Osgood type blow-up criterion for the 3D Boussinesq equations with partial viscosity

被引：1
|
作者：
Shang, Zhaoyang [1 ]
机构：
[1] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China
来源：
AIMS MATHEMATICS | 2018年 / 3卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Boussinesq equations; blow-up criterion; Besov space; REGULARITY CRITERIA; SMOOTH SOLUTIONS; LOCAL EXISTENCE; SYSTEM; EULER;
D O I：
10.3934/Math.2018.1.1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is dedicated to studying the blow-up criterion of smooth solutions to the three-dimensional Boussinesq equations with partial viscosity. By means of the Littlewood-Paley decomposition, we give an improved logarithmic Sobolev inequality and through this, we obtain the corresponding blow-up criterion in a space larger than (B)Over dot(infinity,infinity)(0), which extends several previous works.
引用
收藏
页码：1 / 11
页数：11
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