Long-time turbulence model deduced from the Navier-Stokes equations

Roger Lewandowski (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

The author shows the existence of long-time averages to turbulent solutions of the Navier-Stokes equations and determines the equations satisfied by them, involving a Reynolds stress that is shown to be dissipative.

Mots clés: Navier-Stokes equations; Weak solutions; Turbulence modeling; Reynold stress

Domaines: Equations aux dérivées partielles [math.AP]; Mécanique des fluides [physics.class-ph]

Roger Lewandowski. Long-time turbulence model deduced from the Navier-Stokes equations. Chinese Annals of Mathematics - Series B, 2015, 36 (5), pp.883-894. ⟨10.1007/s11401-015-0982-9⟩. ⟨hal-01192773⟩