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

Fuente: arXiv
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Autores principales: Ferrario, Benedetta, Zanella, Margherita
Formato: Preprint
Publicado: 2025
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author Ferrario, Benedetta
Zanella, Margherita
author_facet Ferrario, Benedetta
Zanella, Margherita
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2501_01772
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Long time behavior of the stochastic 2D Navier-Stokes equations
Ferrario, Benedetta
Zanella, Margherita
Probability
Analysis of PDEs
35Q30, 35R60, 60H30, 60H15
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.
title Long time behavior of the stochastic 2D Navier-Stokes equations
topic Probability
Analysis of PDEs
35Q30, 35R60, 60H30, 60H15
url https://arxiv.org/abs/2501.01772