Hani Ali, Petr Kaplicky
We establish the existence and regularity of a unique weak solution to turbulent flows in a bounded domain governed by the Leray-alpha model with Navier slip boundary condition for the velocity. Furthermore, we show that when the filter coefficient alpha tends to zero, these weak solutions converge to a suitable weak solution to the incompressible Navier Stokes equations subject to the Navier boundary conditions. Finally, we discuss the relation between the Leray-alpha model and the Navier-Stokes equations with homogeneous Dirichlet boundary condition.
Submitted April 15, 2013. Published August 26, 2016.
Math Subject Classifications: 35Q30, 35Q35, 76F60.
Key Words: Turbulence model; existence of solutions; weak solution.
Show me the PDF file (285 KB), TEX file for this article.
| Hani Ali |
AXA Global P & C
| Petr Kaplicky |
Faculty of Mathematics and Physics
186 75 Prague 8, Czech Republic
Return to the EJDE web page