Hyperviscous stochastic Navier-Stokes equations with white noise invariant measure in two dimensions

M. Gubinelli and M. Turra

First issued 14 December 2019 · PDF · HTML

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.

Versions

1. Version 2 (arXiv v2) current
   17 April 2020
   arXiv comments: 30 pages, no figures, added discussion for the full space
   PDF · TeXmacs source · files and digests · arXiv:1912.06881
2. Version 1 (arXiv v1)
   14 December 2019
   arXiv comments: 23 pages, no figures
   PDF · TeXmacs source · files and digests · arXiv:1912.06881

Cite

M. Gubinelli and M. Turra. Hyperviscous stochastic Navier-Stokes equations with white noise invariant measure in two dimensions. Papers of Massimiliano Gubinelli, 2019, version 2. https://mgubi.org/papers/paper/hyperviscous-navier-stokes/

Licence: arXiv.org perpetual, non-exclusive license to distribute; all other rights reserved to the authors

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