The Energy Law And The Existence Of The Weak Solution On Stochastic Navicr-Stokes-Voight Equations

We set up stochastic Navier-stokes-Voight equation by adding a stochastic term to classic Navier-stokes-Voight equation.The way to deal with Navier-stokes-Voight equations is different from the classic equations,for the existence of the stochastic term.In this paper,we mainly bulid the expect energy law by similar method of the classis problem and proof the existence of the weak solution of stochastic Navier-stokes-Voight equation by Galerkin method.What’s more,we will discuss the further result about the stochastic Navier-stokes-Voight equation.