Equilibrium statistical mechanics of barotropic quasi-geostrophic equations
2021 ◽
pp. 2150007
Keyword(s):
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.
2017 ◽
Vol 74
(12)
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pp. 3915-3936
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1987 ◽
Vol 183
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pp. 467-509
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2016 ◽
Vol 73
(5)
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pp. 2229-2253
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2005 ◽
Vol 62
(11)
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pp. 4084-4094
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2017 ◽
Vol 74
(2)
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pp. 467-486
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2016 ◽
Vol 33
(4)
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Keyword(s):
2008 ◽
Vol 615
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pp. 371-399
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