Global regularity for the initial-boundary value, problem of the 2-D Boussinesq system with variable, viscosity and thermal diffusivity

被引：49

作者：

Sun, Yongzhong ^{[1
]}

Zhang, Zhifei ^{[2
,3
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

[2] Peking Univ, LMAM, Beijing 100871, Peoples R China

[3] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年 / 255卷 / 06期

关键词：

Boussinesq system; Global regularity; Initial-boundary value problem; WELL-POSEDNESS; PARABOLIC EQUATIONS; CONVECTION;

D O I：

10.1016/j.jde.2013.04.032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the global existence of strong solution to the initial-boundary value problem of the 2-D Boussinesq system and 3-D infinite Prandtl number model with viscosity and thermal conductivity depending on the temperature. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：1069 / 1085

页数：17

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