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arXiv · 2308.11559

Existence of Invariant Measures for Stochastic Inviscid Multi-Layer Quasi-Geostrophic Equations

Federico Butori·Francesco Grotto·Eliseo Luongo·Leonardo Roveri
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Abstract

We consider an inviscid 3-layer quasi-geostrophic model with stochastic forcing in a 2D bounded domain. After establishing well-posedness of such system under natural regularity assumptions on the initial condition and the (additive) noise, we prove the existence of an invariant measure supported on bounded functions by means of the Krylov-Bogoliubov approach developed by Ferrario and Bessaih (Comm. Math. Phys. 377, 2020).

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BibTeXRIS

Federico Butori, Francesco Grotto, Eliseo Luongo, Leonardo Roveri. 2023-08-22. Existence of Invariant Measures for Stochastic Inviscid Multi-Layer Quasi-Geostrophic Equations. https://arxiv.org/abs/2308.11559

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