Turbulence and Self-Organization

This book focuses on the development of continuum models of natural turbulent media. It provides a theoretical approach to the solutions of different problems related to the formation, structure and evolution of astrophysical and geophysical objects. A stochastic modeling approach is used in the mathematical treatment of these problems, which reflects self-organization processes in open dissipative systems. The authors also consider examples of ordering for various objects in space throughout their evolutionary processes.

This volume is aimed at graduate students and researchers in the fields of mechanics, astrophysics, geophysics, planetary and space science.

Résumé
The book deals with the development of continual models of turbulent natural media. Such models serve as a ground for the statement and numerical evaluation of the key problems of the structure and evolution of the numerous astrophysical and geophysical objects. The processes of ordering (self-organization) in an originally chaotic turbulent medium are addressed and treated in detail with the use of irreversible thermodynamics and stochastic dynamics approaches which underlie the respective models. Different examples of ordering set up in the natural environment and outer space are brought and thoroughly discussed, the main focus being given to the protoplanetary discs formation and evolution.

Contenu
Turbulent Chaos and Self-organization in Space and Natural Environments.- Basics of Mathematical Modeling of Reactive Gas Mixtures.- Closed System of Hydrodynamic Equations for the Description of Turbulent Motion of Multicomponent Media.- Differential Models of Closure of the Averaged Hydrodynamic Equations for the Turbulent Chemically-active Continuous Medium.-Stochastic-thermodynamic Modeling of the Developed Structural Turbulence.- Self-organization of the Developed Turbulence and Mechanisms of Coherent Structure Formation.- Basics of Heterogeneous Mechanics with Applications to Accretion Discs.- Influence of Hydrodynamic Spirality on Turbulence Evolution in the Accretion Disc.- Thermodynamic Model of Magnetohydrodynamic (MGD) Turbulence and Some Application to the Accretion Discs.