Turbulence and Self-Organization

This book covers the development of continual models of turbulent natural media. Processes of self-organization are addressed in detail using irreversible thermodynamics and stochastic dynamics, and focusing on formation and evolution of protoplanetary discs.

Provides a very broad coverage of topics relevant to homogeneous and multi-component reactive turbulent gas and gas-dust flows Shows the utilization of stochastic and irreversible thermodynamics approaches to the in-depth study of chaotic and ordered processes in the developed turbulence Offers many comprehensive illustrations and applications of the revealed processes to the modeling of natural phenomena in astro- and geophysics Presents a very detailed analysis of numerous problems of turbulent flows applied to the natural environment and conditions in outer space

Klappentext

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.

Inhalt
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.