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
收藏
页码：521 / 540
页数：20
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