Equivalence of dynamical ensembles and Navier-Stokes equations

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 an infinite Reynolds number, which plays the ro...

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Bibliographic Details
Published inPhysics letters. A Vol. 223; no. 1; pp. 91 - 95
Main Author Gallavotti, G.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 25.11.1996
Subjects
Chaoticity principle
Fluid mechanics
Navier-Stokes equation
Strange attractors
47.52.+j
05.70.Ln
Chaoticity principle
Fluid mechanics
Strange attractors
47.70.-n
05.45.+b
Navier-Stokes equation
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Summary: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 an infinite Reynolds number, which plays the role of the thermodynamic limit.
ISSN:0375-9601
1873-2429
DOI:10.1016/S0375-9601(96)00729-3