On the global well-posedness for Boussinesq system

被引：163

作者：

Abidi, H. ^{[1
]}

Hmidi, T. ^{[1
]}

机构：

[1] Univ Rennes 1, F-35042 Rennes, France

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2007年 / 233卷 / 01期

关键词：

D O I：

10.1016/j.jde.2006.10.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give a global well-posedness result for the two-dimensional Boussinesq system with partial viscosity, when the initial data v(0) epsilon B(infinity)(-1) (R(2)) boolean AND L(2) (R(2)) and theta(0) epsilon B(2,1)(0) (R(2)). (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：199 / 220

页数：22

共 50 条

[41] A NOTE ON GLOBAL WELL-POSEDNESS OF SOLUTIONS TO BOUSSINESQ EQUATIONS WITH FRACTIONAL DISSIPATION
叶专
Acta Mathematica Scientia, 2015, (01) : 112 - 120
[42] On the global well-posedness of a class of Boussinesq-Navier-Stokes systems
Miao, Changxing
Xue, Liutang
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2011, 18 (06): : 707 - 735
[43] WELL-POSEDNESS FOR A DISPERSIVE SYSTEM OF THE WHITHAM-BOUSSINESQ TYPE
Dinvay, E.
Selberg, S.
Tesfahun, A.
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2020, 52 (03) : 2353 - 2382
[44] Well-Posedness to the Cauchy Problem of a Fully Dispersive Boussinesq System
Yuexun Wang
Journal of Dynamics and Differential Equations, 2021, 33 : 805 - 816
[45] Global well-posedness for strongly damped multidimensional generalized Boussinesq equations
Shen Jihong
Zhang Mingyou
Wang Xingchang
Liu Bowei
Xu Runzhang
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (15) : 4437 - 4450
[46] On the global well-posedness of a generalized 2D Boussinesq equations
Jia, Junxiong
Peng, Jigen
Li, Kexue
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2015, 22 (04): : 911 - 945
[47] Well-Posedness for a Whitham-Boussinesq System with Surface Tension
Dinvay, Evgueni
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2020, 23 (02)
[48] On the global well-posedness and striated regularity of the 2D Boussinesq-MHD system
Niu, Dongjuan
Peng, Jiao
Wang, Lu
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (04) : 2572 - 2595
[49] Global well-posedness of the 2D Euler-Boussinesq system with stratification effects
Li, Zhouyu
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (14) : 5212 - 5221
[50] Persistence of global well-posedness for the two dimensional Boussinesq system with non-homogeneous boundary
Su, Xing
Qin, Yuming
APPLICABLE ANALYSIS, 2018, 97 (07) : 1117 - 1128

← 1 2 3 4 5 →