Kolmogorov Spectra of Turbulence I

This introductory text provides a general theory of developed turbulence with a consistent description of phenomena in different media such as plasmas, solids, the atmosphere, oceans and space. Beginning with simple dimensional analysis, the text proceeds to rigorous theory with solutions.

---

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