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Equivalence of dynamical ensembles and Navier Stokes equations

Giovanni Gallavotti

chao-dynarXiv:chao-dyn/9604006

Abstract

A reversible version of the Navier Stokes equation is studied. A conjecture emerges stating the equivalence between the reversible equation and the usual Navier Stokes equation. The latter appears as a statement of ensembles equivalence in the limit of infinite Reynolds number, which plays the role of the thermodynamic limit.

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