Kolmogorov Spectra of Turbulence I

the long version

This comprehensive introduction into a modern and rapidly developing field starts on the level of graduates and young researchers. It provides a general theory of developed turbulence with a consistent description of phenomena in different media such as plasmas, solids, atmosphere, oceans and space. Starting from simple dimensional analysis the exposition proceeds to rigorous theory with exact solutions for the stationary spectra of turbulence, the solution of the stability problem, matching of Kolmogorov-like spectra with pumping and damping. The reader is provided with the necessary tools for studying nonlinear waves andturbulence: Hamiltonian formalisms, methods of statistical description, derivation of kinetic equations and solutions.