2020
DOI: 10.48550/arxiv.2002.02853
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Equilibrium Statistical Mechanics of Barotropic Quasi-Geostrophic Equations

Francesco Grotto,
Umberto Pappalettera

Abstract: We consider equations describing a barotropic inviscid flow in a channel with topography effects and beta-plane approximation of Coriolis force, in which a large-scale mean flow interacts with smaller scales. Gibbsian measures associated to the first integrals energy and enstrophy are Gaussian measures supported by distributional spaces. We define a suitable weak formulation for barotropic equations, and prove existence of a stationary solution preserving Gibbsian measures, thus providing a rigorous infinite-d… Show more

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