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arXiv · 2501.01772

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

Benedetta Ferrario·Margherita Zanella
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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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Benedetta Ferrario, Margherita Zanella. 2025-01-03. Long time behavior of the stochastic 2D Navier-Stokes equations. https://arxiv.org/abs/2501.01772

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