Abstract
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.
| Original language | American English |
|---|---|
| Journal | Discrete and Continuous Dynamical Systems |
| Volume | 23 |
| DOIs | |
| State | Published - Jan 1 2009 |
Keywords
- Dissipative System
- Invariant Measure
- Stationary Statistical Solution
Disciplines
- Mathematics
- Statistics and Probability
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