Gaussian invariant measures and stationary solutions of 2D Primitive Equations
Probability
2022-05-13 v1 Mathematical Physics
math.MP
Abstract
We introduce a Gaussian measure formally preserved by the 2-dimensional Primitive Equations driven by additive Gaussian noise. Under such measure the stochastic equations under consideration are singular: we propose a solution theory based on the techniques developed by Gubinelli and Jara in \cite{GuJa13} for a hyperviscous version of the equations.
Keywords
Cite
@article{arxiv.2005.03339,
title = {Gaussian invariant measures and stationary solutions of 2D Primitive Equations},
author = {Francesco Grotto and Umberto Pappalettera},
journal= {arXiv preprint arXiv:2005.03339},
year = {2022}
}
Comments
15 pages