On the invariant measures for the two-dimensional euler flow |
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| Authors: | G. Benfatto P. Picco M. Pulvirenti |
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| Affiliation: | (1) Centre de Physique Theorique, Centre National de la Recherche Scientifique Luminy, Marseille, Cedex 9, France |
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| Abstract: | It is proven that the canonical Gibbs measure associated with a gas of vortices of intensity ±  converges, in the limitN  , 0,Nconst, to a Gaussian measure, which is invariant for the two-dimensional Euler equation.On leave from Dipartimento di Matematica Università di Roma  Tor Vergata Roma, Italy.On leave from Dipartimento di Matematica Università di Roma La Sapienza, Roma, Italy. |
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| Keywords: | Invariant measures for the Euler flow vortices Gaussian random fields |
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