Communications in Mathematical Sciences

Volume 10 (2012)

Number 2

Ladder theorem and length-scale estimates for a Leray alpha model of turbulence

Pages: 477 – 491

DOI: http://dx.doi.org/10.4310/CMS.2012.v10.n2.a3

Author

Hani Ali (IRMAR, Université Rennes 1, Rennes, France)

Abstract

In this paper, we study the Modified Leray alpha model with periodic boundary conditions. We show that the regular solution satisfies a sequence of energy inequalities which are called “ladder inequalities”. Furthermore, we estimate some quantities of physical relevance in terms of the Reynolds number.

Keywords

turbulence models, regularity, Navier-Stokes equations

2010 Mathematics Subject Classification

35Q30, 76B03, 76D05, 76F05

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