Approximation of Stochastic Partial Differential Equations and Turbulence in Fluids

Partial differential equations involving a stochastic noise term play a key role in describing the influence of turbulence on the motion of fluids. Especially the statistical properties of the solutions of these equations are of interest in almost all applications of turbulence theory. This book focuses on the computation of the statistical properties of turbulence models. It includes a variety of approximation results for the stochastic Navier-Stokes equation and the stochastic hyperviscid Burgers equation. Particular emphasis is given to the calculation of correlation functions. Proofs of the results are presented in detail. This book will be useful for mathematicians, physicists and engineers working in the area of statistical turbulence theory.