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- Title
Asymptotic behavior of solutions to the three-dimensional stochastic Leray-α model.
- Authors
Thanh, Nguyen Van; Tuan, Tran Quoc
- Abstract
We consider the three-dimensional stochastic Leray-α model with homogeneous Dirichlet boundary conditions and infinite-dimensional Wiener process. We first study the mean square and pathwise exponential stability of a stationary solution to the model. Then we show that one can stabilize an unstable stationary solution by using a multiplicative Itô noise of sufficient intensity or a linear internal feedback control with support large enough.
- Subjects
STOCHASTIC models; EXPONENTIAL stability; WIENER processes; INTERNAL auditing
- Publication
Random Operators & Stochastic Equations, 2022, Vol 30, Issue 2, p137
- ISSN
0926-6364
- Publication type
Article
- DOI
10.1515/rose-2022-2077