Turbulence and Stochastic Processes: Kobnogorov's Ideas 50 Years On

The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers - dissipation of energy in the locally isotropic turbulence, A.N. Kolmogorov Kolmogorov's hydrodynamic attractors, V.I. Arnol'd approximation of attractors, large eddy simulations and multiscale methods, R. Temam transition functions, paths and path integrals, D. Williams turbulent cascade and intermittency growth, R.H. Kraichnan random multifractals - negative dimensions and the resulting limitations of the thermodynamic formalism, B.B. Mandelbrot from global scaling, a la Kolmogorov, to local multifractal scaling in developed turbulence, U. Frisch structure and dynamics of homogenous turbulence models and simulations, Z-S She, E. Jackson and S.A. Orszag the Kolomorogov spectrum and its oceanic cousins - a review, O.M. Phillips local isotropy of the smallest scales of turbulent scalar and velocity fields, C. Van Atta Kolmogorov similarity hypotheses for scalar fields - sampling intermittent turbulent mixing in the ocean and galaxy, C.H. Gibson on local isotropy of passive scalars in turbulent shear flows, K.R. Sreenivasan Kolmogorov's contributions to the physical and geometrical understanding of small-scale turbulence and recent developments, J.C.R. Hunt and J.C. Vassilicos Kolmogorov's two-equation model of turbulence, D.B. Spalding some applications of Kolmogorov's turbulence research in the field of combustion, K.N.C. Bray and R.S. Cant.