Abstract
The paper deals with infinite-dimensional random dynamical systems. Under the condition that the system in question is of mixing type and possesses a random compact attracting set, we show that the support of the unique invariant measure is the minimal random point attractor. The results obtained apply to the randomly forced 2D Navier-Stokes system.
Original language | English |
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Pages (from-to) | 28-37 |
Number of pages | 10 |
Journal | Functional Analysis and its Applications |
Volume | 38 |
Issue number | 1 |
DOIs | |
Publication status | Published - Jan 2004 |
Keywords
- 2D Navier-Stokes equations
- Invariant measure
- Mixing type system
- Random attractor
- Stationary measure