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arXiv · 2005.03339

Gaussian invariant measures and stationary solutions of 2D Primitive Equations

Francesco Grotto·Umberto Pappalettera
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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.

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BibTeXRIS

Francesco Grotto, Umberto Pappalettera. 2020-05-07. Gaussian invariant measures and stationary solutions of 2D Primitive Equations. https://doi.org/10.3934/dcdsb.2021154

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