Mathematical study for some models of turbulence
vendredi 28 septembre 2012, 11h00 - 12h00
Salle : 705 K
Résumé / Abstract :
In this talk, we discuss a family of some numerical models of turbulence called the alpha models. This type of models, which is derived from the Navier-Stokes equations, has interested both
of the pure and applied mathematicians.
On one hand, we focus on the Hausdorff dimension estimation of the time singular set for this family with fractional regularizations. On the other hand, we extend the study of the Leray-alpha model to
bounded domains where the Navier’s slip boundary conditions are considered for the velocity.