Hyperviscous stochastic Navier-Stokes equations with white noise invariant measure in two dimensions
Probability
2020-07-06 v2 Mathematical Physics
math.MP
Abstract
We prove existence and uniqueness of martingale solutions to a (slightly) hyperviscous stochastic Navier-Stokes equation in 2d with initial conditions absolutely continuous with respect to the Gibbs measure associated to the energy, getting the results both in the torus and in the whole space setting.
Keywords
Cite
@article{arxiv.1912.06881,
title = {Hyperviscous stochastic Navier-Stokes equations with white noise invariant measure in two dimensions},
author = {M. Gubinelli and M. Turra},
journal= {arXiv preprint arXiv:1912.06881},
year = {2020}
}
Comments
30 pages, no figures, added discussion for the full space