Existence of Invariant Measures for Stochastic Inviscid Multi-Layer Quasi-Geostrophic Equations
Probability
2023-08-24 v2 Mathematical Physics
Analysis of PDEs
math.MP
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).
Keywords
Cite
@article{arxiv.2308.11559,
title = {Existence of Invariant Measures for Stochastic Inviscid Multi-Layer Quasi-Geostrophic Equations},
author = {Federico Butori and Francesco Grotto and Eliseo Luongo and Leonardo Roveri},
journal= {arXiv preprint arXiv:2308.11559},
year = {2023}
}
Comments
Corrected typo in the title