Equilibrium statistical mechanics of barotropic quasi-geostrophic equations

被引:3
作者
Grotto, Francesco [1 ]
Pappalettera, Umberto [1 ]
机构
[1] Scuola Normale Super Pisa, Piazza Cavalieri 7, I-56126 Pisa, Italy
关键词
Quasi-geostrophic equations; channel flow; equilibrium statistical mechanics; weak vorticity formulation; white noise analysis;
D O I
10.1142/S0219025721500077
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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 solution preserving Gibbsian measures, thus providing a rigorous infinite-dimensional framework for the equilibrium statistical mechanics of the model.
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页数:23
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