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

页码：112 / 120

页数：9

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