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arXiv:1912.06881math.PR

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

M. Gubinelli, M. Turra

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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.

arXiv comments
30 pages, no figures, added discussion for the full space
Journal reference
DOI
doi:10.1142/S0219493720400055
Subjects
math.PRProbability math-phMathematical Physics

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  1. TeXmacs and the Art of Mathematical Writing 1 comment

    • I generally use TeXmacs for notes, derivations, lectures, articles, all, of course. Most of my papers in the last 7 years, around 15 and all my lectures in the same period, circa 2 courses a year. More in detail, all these papers are been written completely in TeXmacs and then…

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