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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.




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.




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.


Content:
Front Matter....Pages i-xxviii
Turbulent Chaos and Self-Organization in Cosmic Natural Media....Pages 1-144
Foundations of Mathematical Modeling of Reacting Gas Mixtures....Pages 145-188
Closed System of Hydrodynamic Equations to Describe Turbulent Motions of Multicomponent Media....Pages 189-254
Differential Models for the Closure of Turbulently Averaged Hydrodynamic Equations for a Chemically Active Continuous Medium....Pages 255-294
Stochastic-Thermodynamic Modeling of Developed Structured Turbulence....Pages 295-371
Self-Organization of Developed Turbulence and Formation Mechanisms of Coherent Structures....Pages 373-423
Foundations of Mechanics of Heterogeneous Media for Accretion Disks....Pages 425-524
Influence of Hydrodynamic Helicity on the Evolution of Turbulence in an Accretion Disk....Pages 525-553
Thermodynamic Model of MHD Turbulence and Some of Its Applications to Accretion Disks....Pages 555-606
Back Matter....Pages 607-657


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.


Content:
Front Matter....Pages i-xxviii
Turbulent Chaos and Self-Organization in Cosmic Natural Media....Pages 1-144
Foundations of Mathematical Modeling of Reacting Gas Mixtures....Pages 145-188
Closed System of Hydrodynamic Equations to Describe Turbulent Motions of Multicomponent Media....Pages 189-254
Differential Models for the Closure of Turbulently Averaged Hydrodynamic Equations for a Chemically Active Continuous Medium....Pages 255-294
Stochastic-Thermodynamic Modeling of Developed Structured Turbulence....Pages 295-371
Self-Organization of Developed Turbulence and Formation Mechanisms of Coherent Structures....Pages 373-423
Foundations of Mechanics of Heterogeneous Media for Accretion Disks....Pages 425-524
Influence of Hydrodynamic Helicity on the Evolution of Turbulence in an Accretion Disk....Pages 525-553
Thermodynamic Model of MHD Turbulence and Some of Its Applications to Accretion Disks....Pages 555-606
Back Matter....Pages 607-657
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