Upper Semi-Continuity of Stationary Statistical Properties of Dissipative Systems
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.
X. Wang, "Upper Semi-Continuity of Stationary Statistical Properties of Dissipative Systems," Discrete and Continuous Dynamical Systems, vol. 23, no. 1 thru 2, pp. 521 - 540, American Institute of Mathematical Sciences (AIMS), Jan 2009.
The definitive version is available at https://doi.org/10.3934/dcds.2009.23.521
Mathematics and Statistics
Keywords and Phrases
Dissipative System; Invariant Measure; Stationary Statistical Solution
International Standard Serial Number (ISSN)
Article - Journal
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01 Jan 2009