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

被引：0

作者：

叶专 ^{[1
]}

机构：

[1] School of Mathematical Sciences, Beijing Normal University and Laboratory of Mathematics and Complex Systems,Ministry of Education

来源：

Acta Mathematica Scientia | 2015年 / 01期

基金：

中央高校基本科研业务费专项资金资助;

关键词：

Boussinesq equations; fractional Laplacian; global regularity;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

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 α satisfies α≥1/2+n/4.

引用

页码：112 / 120

页数：9

共 50 条

[1] A NOTE ON GLOBAL WELL-POSEDNESS OF SOLUTIONS TO BOUSSINESQ EQUATIONS WITH FRACTIONAL DISSIPATION
Ye, Zhuan
[J]. ACTA MATHEMATICA SCIENTIA, 2015, 35 (01) : 112 - 120
[2] A NOTE ON GLOBAL WELL-POSEDNESS OF SOLUTIONS TO BOUSSINESQ EQUATIONS WITH FRACTIONAL DISSIPATION
叶专
[J]. Acta Mathematica Scientia(English Series), 2015, 35 (01) : 112 - 120
[3] Persistence of Global Well-Posedness for Fractional Dissipation Boussinesq System
Su, Xing
Qin, Yuming
[J]. PROCEEDINGS OF 2016 INTERNATIONAL CONFERENCE ON MODELING, SIMULATION AND OPTIMIZATION TECHNOLOGIES AND APPLICATIONS (MSOTA2016), 2016, 58 : 74 - 77
[4] Persistence of global well-posedness for the 2D Boussinesq equations with fractional dissipation
Xing Su
Gangwei Wang
Yue Wang
[J]. Advances in Difference Equations, 2019
[5] On global well-posedness for the 3D Boussinesq equations with fractional partial dissipation
Ye, Zhuan
[J]. APPLIED MATHEMATICS LETTERS, 2019, 90 : 1 - 7
[6] Global well-posedness of the 2D Boussinesq equations with fractional Laplacian dissipation
Ye, Zhuan
Xu, Xiaojing
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 260 (08) : 6716 - 6744
[7] Persistence of global well-posedness for the 2D Boussinesq equations with fractional dissipation
Su, Xing
Wang, Gangwei
Wang, Yue
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
[8] Well-posedness and inviscid limits of the Boussinesq equations with fractional Laplacian dissipation
Wu, Jiahong
Xu, Xiaojing
[J]. NONLINEARITY, 2014, 27 (09) : 2215 - 2232
[9] On the global well-posedness of the Euler-Boussinesq system with fractional dissipation
Hmidi, T.
Zerguine, M.
[J]. PHYSICA D-NONLINEAR PHENOMENA, 2010, 239 (15) : 1387 - 1401
[10] On the Global Well-Posedness of Rotating Magnetohydrodynamics Equations with Fractional Dissipation
Abidin, Muhammad Zainul
Marwan, Muhammad
Kalsoom, Humaira
Omer, Omer Abdalrhman
[J]. FRACTAL AND FRACTIONAL, 2022, 6 (06)

← 1 2 3 4 5 →