We review some basic results on existence and uniqueness of the in- variant measure for the two-dimensional stochastic Navier-Stokes equations. A large part of the literature concerns the additive noise case; after revising these models, we consider our recent result [Ferrario and Zanella, Discrete Contin. Dyn. Syst. 44(1), 2024] with a multiplicative noise.
Long Time Behavior of the Stochastic 2D Navier-Stokes Equations
Benedetta Ferrario
;Margherita Zanella
2025-01-01
Abstract
We review some basic results on existence and uniqueness of the in- variant measure for the two-dimensional stochastic Navier-Stokes equations. A large part of the literature concerns the additive noise case; after revising these models, we consider our recent result [Ferrario and Zanella, Discrete Contin. Dyn. Syst. 44(1), 2024] with a multiplicative noise.File in questo prodotto:
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