A NOTE ON GLOBAL WELL-POSEDNESS OF SOLUTIONS TO BOUSSINESQ EQUATIONS WITH FRACTIONAL DISSIPATION

被引：22
|
作者：
Ye, Zhuan [1 ,2 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
[2] Minist Educ, Lab Math & Complex Syst, Beijing 100875, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2015年 / 35卷 / 01期
关键词：
Boussinesq equations; fractional Laplacian; global regularity; LIFE-SPAN; REGULARITY; CRITERION; EULER;
D O I：
10.1016/S0252-9602(14)60144-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The goal of this paper is to consider the global well-posedness to n-dimensional (n >= 3) Boussinesq equations with fractional dissipation. More precisely, it is proved that there exists a unique global regular solution to the Boussinesq equations provided the real parameter a satisfies alpha >= 1/2 + n/4.
引用
收藏
页码：112 / 120
页数：9
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