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Equivalence of dynamical ensembles and Navier Stokes equations

chao-dyn 2009-10-28 v1 Chaotic Dynamics

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.

Keywords

Cite

@article{arxiv.chao-dyn/9604006,
  title  = {Equivalence of dynamical ensembles and Navier Stokes equations},
  author = {Giovanni Gallavotti},
  journal= {arXiv preprint arXiv:chao-dyn/9604006},
  year   = {2009}
}

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5 pages