Regularity criterion of the 2D Benard equations with critical and supercritical dissipation

被引：25
作者：
Ye, Zhuan [1 ]
机构：
[1] Jiangsu Normal Univ, Dept Math & Stat, 101 Shanghai Rd, Xuzhou 221116, Jiangsu, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2017年 / 156卷
关键词：
Benard equations; Boussinesq equations; Global regularity; Regularity criterion; GLOBAL WELL-POSEDNESS; EULER-BOUSSINESQ SYSTEM; MAXIMUM PRINCIPLE; SMOOTH SOLUTIONS; COMMUTATORS; CONVECTION; EXISTENCE;
D O I：
10.1016/j.na.2017.02.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the Cauchy problem for the two-dimensional (2D) incompressible Bollard equations. On the one hand, we prove global-in-time existence of smooth solutions to the 2D Benard equations with critical dissipation. On the other hand, we establish several regularity criteria involving temperature for 2D Benard equations with supercritical dissipation. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：111 / 143
页数：33
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