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On the Statistical Mechanics of 2D Euler Equation

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Abstract:

We address the issue of a rigorous justification of the statistical mechanics of 2D Euler equation. We construct a converging sequence of approximations of this equation for which a Liouville theorem holds and such that the sequence of Liouville measures has a large deviation property. This provides an important step in the justification of the use of the entropy functional previously introduced in [8, 11, 13].

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  1. Institut Fourier CNRS, BP 74, 38402 Saint Martin d'Hères Cedex, France.¶E-mail: Raoul.Robert@ujf-grenoble.fr, , , , , , FR

    Raoul Robert

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  1. Raoul Robert
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Received: 25 November 1997 / Accepted: 27 January 2000

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Robert, R. On the Statistical Mechanics of 2D Euler Equation. Comm Math Phys 212, 245–256 (2000). https://doi.org/10.1007/s002200000210

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  • DOI: https://doi.org/10.1007/s002200000210

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