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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.
List of contents
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.
Summary
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.
Additional text
From the reviews:
“It should be of interest to students and specialists in applied mathematics and mechanics. The book is devoted to the problem of self-organisation in fully developed turbulent flows using stochastic thermodynamic constructions to treat complex reacting multicomponent gas and gas dust media.” (Mark Thompson, Mathematical Reviews, January, 2014)
Report
From the reviews:
"It should be of interest to students and specialists in applied mathematics and mechanics. The book is devoted to the problem of self-organisation in fully developed turbulent flows using stochastic thermodynamic constructions to treat complex reacting multicomponent gas and gas dust media." (Mark Thompson, Mathematical Reviews, January, 2014)
