4 papers
Analysis of the Leray-α model with Navier slip boundary condition
Hani Ali, Petr Kaplický
In this paper, we establish the existence and the regularity of a unique weak solution to turbulent flows in a bounded domain governed by the so-called Leray…
Large Eddy Simulation for Turbulent Flows with Critical Regularization
Hani Ali
In this paper, we establish the existence of a unique "regular" weak solution to the Large Eddy Simulation (LES) models of turbulence with critical regularization. We first conside…
On a critical Leray model of turbulence
Hani Ali
This paper aims to study a family of Leray- models with periodic bounbary conditions. These models are good approximations for the Navier-Stokes equations. We focus our attentio…
Singularity \& Regularity Issues for Simplified Models of Turbulence
Hani Ali, Zied Ammari
We consider a family of Leray- models with periodic boundary conditions in three space dimensions. Such models are a regularization, with respect to a parameter , of the Navi…