Local existence of strong solutions to the $k-\epsilon$ model equations for turbulent flows

In this paper, we are concerned with the local existence of strong solutions to the $k-\epsilon$ model equations for turbulent flows in a bounded domain $\mathrm{\Omega }$$\subset$ ${\mathbb{R}}^3$. We prove the existence of unique local strong solutions under the assumption that turbulent kinetic energy and the initial density both have lower bounds away from zero.