Global well-posedness for 2D Boussinesq system with general supercritical dissipation

被引：8

作者：

Fang, Daoyuan ^{[1
]}

Qian, Chenyin ^{[1
]}

Zhang, Ting ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2016年 / 27卷

基金：

中国国家自然科学基金;

关键词：

2D Boussinesq equations; Well-posedness; Blow-up criterion; EQUATIONS; REGULARITY; EXISTENCE;

D O I：

10.1016/j.nonrwa.2015.08.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the 2D incompressible generalized Boussinesq system with the general supercritical dissipation. Using the Fourier localization method, we obtain the local and global well-posedness for the system, and give some blow-up criterion with the velocity or the temperature. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：326 / 349

页数：24

共 33 条

[11] Global regularity for the 2D Boussinesq equations with partial viscosity terms
Chae, Dongho
[J]. ADVANCES IN MATHEMATICS, 2006, 203 (02) : 497 - 513
[12] The 2D Boussinesq equations with logarithmically supercritical velocities
Chae, Dongho
Wu, Jiahong
[J]. ADVANCES IN MATHEMATICS, 2012, 230 (4-6) : 1618 - 1645
[13] Chemin J. -Y., 1998, Perfect Incompressible Fluids
[14] Infinite Prandtl number convection
Constantin, P
Doering, CR
[J]. JOURNAL OF STATISTICAL PHYSICS, 1999, 94 (1-2) : 159 - 172
[15] A maximum principle applied to quasi-geostrophic equations
Córdoba, A
Córdoba, D
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2004, 249 (03) : 511 - 528
[16] Existence and uniqueness results for the Boussinesq system with data in Lorentz spaces
Danchin, Raphael
Paicu, Marius
[J]. PHYSICA D-NONLINEAR PHENOMENA, 2008, 237 (10-12) : 1444 - 1460
[17] GLOBAL EXISTENCE RESULTS FOR THE ANISOTROPIC BOUSSINESQ SYSTEM IN DIMENSION TWO
Danchin, Raphael
Paicu, Marius
[J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2011, 21 (03) : 421 - 457
[18] Global Well-Posedness Issues for the Inviscid Boussinesq System with Yudovich's Type Data
Danchin, Raphael
Paicu, Marius
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2009, 290 (01) : 1 - 14
[19] Gill A. E., 1986, ATMOSPHERE OCEAN DYN, V1
[20] Global Well-Posedness for Euler-Boussinesq System with Critical Dissipation
Hmidi, T.
Keraani, S.
Rousset, F.
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2011, 36 (03) : 420 - 445

← 1 2 3 4 →