Equivalence of dynamical ensembles and Navier Stokes equations

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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5 pages

Scientific paper

10.1016/S0375-9601(96)00729-3

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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