Abstract
We construct for the Euler flow in two dimensions with periodic boundary conditions the Gibbsian measures given by the energy and the enstrophy integrals. We show that they are inflnitesimally invariant under the Euler flow.
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On leave from Fakultät für Mathematik, Universität Bielefeld, Bielefeld, West Germany.
On leave from Matematisk Institutt, Universitetet i Oslo, Oslo, Norway.
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Albeverio, S., Ribeiro de Faria, M. & Høegh-Krohn, R. Stationary measures for the periodic Euler flow in two dimensions. J Stat Phys 20, 585–595 (1979). https://doi.org/10.1007/BF01009512
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DOI: https://doi.org/10.1007/BF01009512