arXiv:2501.01772 Abstract | arXiv Analytics

arXiv:2501.01772 [math.PR]Abstract References Reviews Resources

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

Published 2025-01-03Version 1

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.

Categories: math.PR, math.AP

Subjects: 35Q30, 35R60, 60H30, 60H15

Keywords: stochastic 2d navier-stokes equations, long time behavior, two-dimensional stochastic navier-stokes equations, additive noise case, literature concerns

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