THE GLOBAL ATTRACTOR OF THE 2D BOUSSINESQ EQUATIONS WITH FRACTIONAL LAPLACIAN IN SUBCRITICAL CASE

被引：9

作者：

Huo, Wenru ^{[1
]}

Huang, Aimin ^{[2
]}

机构：

[1] Indiana Univ, Dept Math, 831 East Third St,Rawles Hall, Bloomington, IN 47405 USA

[2] Indiana Univ, Inst Sci Comp & Appl Math, 831 East Third St,Rawles Hall, Bloomington, IN 47405 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2016年 / 21卷 / 08期

基金：

美国国家科学基金会;

关键词：

Boussinesq system; global attractor; fractional laplacian; BOUNDARY VALUE-PROBLEM; WELL-POSEDNESS; MAXIMUM PRINCIPLE; BENARD-PROBLEM; SYSTEM; EULER; CONVECTION; VISCOSITY; EXISTENCE;

D O I：

10.3934/dcdsb.2016059

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove global well-posedness of strong solutions and existence of the global attractor for the 2D Boussinesq system in a periodic channel with fractional Laplacian in subcritical case. The analysis reveals a relation between the Laplacian exponent and the regularity of the spaces of velocity and temperature.

引用

页码：2531 / 2550

页数：20

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