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

页码：1 / 11

页数：11

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