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 |
|---|---|
| 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
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Cite this
Kuksin, S. B., & Shirikyan, A. (2004). On random attractors for mixing type systems. Functional Analysis and its Applications, 38(1), 28-37. https://doi.org/10.1023/B:FAIA.0000024865.78811.11