On the global well-posedness of 2-D Boussinesq system with variable viscosity

被引：24

作者：

Abidi, Hammadi ^{[1
]}

Zhang, Ping ^{[2
,3
,4
]}

机构：

[1] Fac Sci Tunis, Dept Math, Campus Univ, Tunis 2092, Tunisia

[2] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[3] Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China

[4] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

来源：

ADVANCES IN MATHEMATICS | 2017年 / 305卷

关键词：

Boussinesq systems; Littlewood-Paley theory; Variable viscosity; NAVIER-STOKES EQUATIONS; FRACTIONAL LAPLACIANS;

D O I：

10.1016/j.aim.2016.09.036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the global well-posedness of 2-D Boussinesq system, which has variable kinematic viscosity and with thermal conductivity of vertical bar D vertical bar theta, with general initial data provided that the viscosity coefficient is sufficiently close to some positive constant in L proportional to norm. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：1202 / 1249

页数：48

共 31 条

[21]

Hon T. Y., 2005, DISCRETE CONTIN DYN, V12, P1

[22] DECAY ESTIMATES OF GLOBAL SOLUTION TO 2D INCOMPRESSIBLE NAVIER-STOKES EQUATIONS WITH VARIABLE VISCOSITY [J].

Huang, J. ;

Paicu, Marius .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2014, 34 (11) :4647-4669

[23]

Ihnidi I., 2011, ANAL PDE, V4, P247

[24]

IImidi T., 2011, COMMUN PART DIFF EQ, V36, P420

[25]

Ilmidi T., 2007, ADV DIFFERENTIAL EQU, V12, P461

[26]

Pedloski J., 1987, GEOPHYS FLUID DYNAMI

[27]

Rodrigues J. F., 1992, PITMAN RES NOTES MAT, V274, P93

[28] LARGE TIME BEHAVIOR OF SOLUTIONS TO THE NAVIER-STOKES EQUATIONS [J].

SCHONBEK, ME .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1986, 11 (07) :733-763

[29] Global well-posedness for the 2-D Boussinesq system with the temperature-dependent viscosity and thermal diffusivity [J].

Wang, Chao ;

Zhang, Zhifei .

ADVANCES IN MATHEMATICS, 2011, 228 (01) :43-62

[30] DECAY RESULTS FOR WEAK SOLUTIONS OF THE NAVIER-STOKES EQUATIONS ON RN [J].

WIEGNER, M .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1987, 35 :303-313

← 1 2 3 4 →