I. Hydrodynamic Limit Random Media and Related Problems. - Hydrodynamic limit for lattice gas reversible under Bernoulli measures. - Equilibrium fluctuations of nongradient reversible particle systems. - The reversible measures of a conservative system with finite range interactions. - Diffusion in disordered media. - Reaction-diffusion equations in the random media: localization and intermittency. - Approximation of a one-dimensional stochastic PDE by local mean field type lattice systems. - Sharp asymptotics of diffusion processes with small parameter and applications to metastable behavior. - II. Burgers' Turbulence. - Intermediate asymptotics of statistical solutions of Burgers' equation. - On a stochastic PDE related to Burgers' equation with noise. - Shock density in Burgers' turbulence. - Model description of passive tracer density fields in the framework of Burgers' and other related model equations. - Evaluation of spectral behavior for large ensembles of exact solutions to Burgers' equation for Thomas initial conditions. - III. Stochastic Navier-Stokes Equation. - Stationary solutions of two-dimensional Navier-Stokes equations with random perturbation. - Nonlinear filtering of stochastic Navier-Stokes equation. - Mesoscopic modelling and stochastic simulations of turbulent flows. - Algebraic energy spectra in stochastic problems for the incompressible Navier-Stokes equation; relation to other nonlinear problems. Language: English