| There are two absolutely different motion state of viscous fluids that is laminar flow and turbulent flow. Laminar flow becomes turbulent flow as the Reynold number increases. As for turbulent flow, the velocity of every point varies randomly when time develops and space differs. For this phenomenon ,we can apply the statistic and average method to study the movement disciplinarian of the flow. This paper disgusses limit of stationary statistical solutions of Navier-Stokes equations when v tends to zero. We prove stationary statistical solutions of damped and driven Navier-Stokes equations converge to renormalized stationary statistical solutions of damped and driven Euler equations.This paper is divided into 4 chapters. In the first chapter,we give the introduction to the equation and the according conclusion. In the second chapter,we introduce notions,theorems and some results that will be used. In the third chapter ,we study stationary statistical solutions of Navier-Stokes equations. At last,we draw a conclusion and give some opinions about the future work. |
