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

Hani Ali (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

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

Mots clés: Turbulence models; Regularity; Navier-Stokes equations

Domaines: Equations aux dérivées partielles [math.AP]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

Hani Ali. Ladder Theorem and length-scale estimates for a Leray alpha model of turbulence. Communications in Mathematical Sciences, 2012, 10 (2), pp.477-491. ⟨hal-00424352v2⟩