Ladder Theorem 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 when the initial data are infinitely differentiable then the unique solution are infinitely differentiable in space and time. Furthermore, this regular solution verifies a sequence of energy inequalities that is called "ladder inequalities".

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 for a Leray alpha model of turbulence. 2009. ⟨hal-00424352v1⟩