Solutions of Burgers, Reynolds, and Navier–Stokes Equations via Stochastic Perturbations of Inviscid Flows

We show that a certain stochastic perturbation of the flow perfect incompressible fluid under some special external force on flat n-dimensional torus yields solution Navier–Stokes equation without in tangent space at unit volume preserving diffeomorphism group. If is absent, turns into one Reynolds type. For diffuse matter this construction Burgers equation.