Gaussian invariant measures and stationary solutions of 2D primitive equations

Abstract

<p style='text-indent:20px;'>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 [<xref ref-type="bibr" rid="b15">15</xref>] for a hyperviscous version of the equations.</p>