Equilibrium statistical mechanics of barotropic quasi-geostrophic equations

Grotto Francesco; Pappalettera Umberto

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Equilibrium statistical mechanics of barotropic quasi-geostrophic equations

机译：波奇拟地球出差方程的均衡统计力学

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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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《Infinite dimensional analysis, quantum probability, and related topics》 |2021年第1期|共23页
作者
Grotto Francesco; Pappalettera Umberto;
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作者单位

Scuola Normale Super Pisa Piazza Cavalieri 7 I-56126 Pisa Italy;

Scuola Normale Super Pisa Piazza Cavalieri 7 I-56126 Pisa Italy;

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原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
Quasi-geostrophic equations; channel flow; equilibrium statistical mechanics; weak vorticity formulation; white noise analysis;

机译：准出色方程;通道流动;平衡统计力学;弱涡度配方;白噪声分析;

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Equilibrium statistical mechanics of barotropic quasi-geostrophic equations

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