Local in time solution to Kolmogorov's two-equation model of turbulence

Abstract

We prove the existence of local in time solution to Kolmogorov's two-equation model of turbulence in three dimensional domain with periodic boundary conditions. We apply Galerkin method for appropriate truncated problem. Next, we obtain estimates for a limit of approximate solutions to ensure that it satisfies the original problem.

Cited by in corpus (1)

• Finite time blow-up for some parabolic systems arising in turbulence theory