Long time behavior of the stochastic 2D Navier-Stokes equations

2025/01/03 by Ferrario, Benedetta, Zanella, Margherita · 1 citation
#35Q30 #35R60 #60H15 #60H30 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2501.01772

Abstract

We review some basic results on existence and uniqueness of the invariant 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, arXiv:2307.03483, with a multiplicative noise.

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