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- W1974273485 abstract "We investigate the precise behaviour of a gas of vortices approximating the vorticity of an incompressible, inviscid, two dimensional fluid as proposed by Onsager [16]. For such mean field interacting particles system with positive vortices, the convergence of the empirical measure was proven in [3]. We improve this result by showing, for more general values of the vortices, that a large deviation principle holds. We also prove a central limit theorem for neutral gases. Nous étudions le comportement asymptotique d'un gaz de tourbillons décrivant un fluide incompressible bidimensionnel. Ce système est modélisé par une interaction de type champ moyen. La convergence faible des mesures empiriques associées a été prouvée dans [3]. Nous étendons ce résultat et prouvons un principe de grandes déviations pour des valeurs quelconques de l'intensité des tourbillons. Dans le cas d'un gaz neutre, nous établissons aussi le théorème de la limite centrale." @default.
- W1974273485 created "2016-06-24" @default.
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- W1974273485 date "1999-04-01" @default.
- W1974273485 modified "2023-10-17" @default.
- W1974273485 title "About the stationary states of vortex systems" @default.
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- W1974273485 doi "https://doi.org/10.1016/s0246-0203(99)80011-9" @default.
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