Abstract

This paper, using the author's decomposition method and recent generalizations, presents algorithms for an analytic solution of the stochastic Navier-Stokes system without linearization, perturbation, discretization, or restrictive assumptions on the nature of stochasticity. The pressure, forces, velocities, and initial/boundary conditions can be stochastic processes and are not limited to white noise. Solutions obtained are physically realistic because of the avoidance of assumptions made purely for mathematical tractability by usual methods. Certain extensions and further generalizations of the decomposition method have provided the basis for the solution