UPPER SEMI-CONTINUITY OF STATIONARY STATISTICAL PROPERTIES OF DISSIPATIVE SYSTEMS

被引：56

作者：

Wang, Xiaoming ^{[1
]}

机构：

[1] Florida State Univ, Dept Math, Tallahassee, FL 32306 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2009年 / 23卷 / 1-2期

关键词：

Stationary statistical solution; invariant measure; dissipative system; upper semi-continuity; Rayleigh-Benard convection; RAYLEIGH-BENARD CONVECTION; VERTICAL HEAT-TRANSPORT; BOUSSINESQ SYSTEM; PRANDTL; ATTRACTORS; BEHAVIOR;

D O I：

10.3934/dcds.2009.23.521

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that stationary statistical properties for uniformly dissipative dynamical systems are upper semi-continuous under regular perturbation and a special type of singular perturbation in time of relaxation type. The results presented are applicable to many physical systems such as the singular limit of infinite Prandtl-Darcy number in the Darcy-Boussinesq system for convection in porous media, or the large Prandtl asymptotics for the Boussinesq system.

引用

页码：521 / 540

页数：20

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