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Rendiconti Lincei - Matematica e Applicazioni

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Volume 22, Issue 1, 2011, pp. 73–87
DOI: 10.4171/RLM/588

Published online: 2011-03-02

The ephemeral nature of Navier–Stokes-$\alpha\beta$ continua

Gianfranco Capriz[1] and Eliot Fried[2]

(1) Università di Pisa, Italy
(2) McGill University, Montreal, Canada

Navier–Stokes-$\alpha\beta$ continua are shown to be a special subclass of the recently introduced class of ephemeral continua that arises when particular constraints and constitutive relations are introduced. Beside offering a new endorsement of balance equations already obtained by numerous Authors, our study offers a chance for enlightening remarks, remarks that might possibly lead to further developments.

Keywords: Turbulence, inertia, dispersion, dissipation

Capriz Gianfranco, Fried Eliot: The ephemeral nature of Navier–Stokes-$\alpha\beta$ continua. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 22 (2011), 73-87. doi: 10.4171/RLM/588