English

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

Probability 2025-01-06 v1 Analysis of PDEs

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.

Keywords

Cite

@article{arxiv.2501.01772,
  title  = {Long time behavior of the stochastic 2D Navier-Stokes equations},
  author = {Benedetta Ferrario and Margherita Zanella},
  journal= {arXiv preprint arXiv:2501.01772},
  year   = {2025}
}