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Turbulence and Self-Organization

Modeling Astrophysical Objects

  • Book
  • © 2013

Overview

Authors:
  1. Mikhail Ya Marov

    1. Vernadsky Institute of Geochemistry, Moscow, Russia

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  2. Aleksander V. Kolesnichenko

    1. Russian Academy of Sciences, Department of Planetary Science & Aerono, Keldysh Institute of Applied Mathematics, Moscow, Russia

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    You can also search for this author in PubMed   Google Scholar

  • 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

Part of the book series: Astrophysics and Space Science Library (ASSL, volume 389)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xxviii
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  2. Turbulent Chaos and Self-Organization in Cosmic Natural Media

    • Mikhail Ya Marov, Aleksander V. Kolesnichenko
    Pages 1-144

  3. Foundations of Mathematical Modeling of Reacting Gas Mixtures

    • Mikhail Ya Marov, Aleksander V. Kolesnichenko
    Pages 145-188

  4. Closed System of Hydrodynamic Equations to Describe Turbulent Motions of Multicomponent Media

    • Mikhail Ya Marov, Aleksander V. Kolesnichenko
    Pages 189-254

  5. Differential Models for the Closure of Turbulently Averaged Hydrodynamic Equations for a Chemically Active Continuous Medium

    • Mikhail Ya Marov, Aleksander V. Kolesnichenko
    Pages 255-294

  6. Stochastic-Thermodynamic Modeling of Developed Structured Turbulence

    • Mikhail Ya Marov, Aleksander V. Kolesnichenko
    Pages 295-371

  7. Self-Organization of Developed Turbulence and Formation Mechanisms of Coherent Structures

    • Mikhail Ya Marov, Aleksander V. Kolesnichenko
    Pages 373-423

  8. Foundations of Mechanics of Heterogeneous Media for Accretion Disks

    • Mikhail Ya Marov, Aleksander V. Kolesnichenko
    Pages 425-524

  9. Influence of Hydrodynamic Helicity on the Evolution of Turbulence in an Accretion Disk

    • Mikhail Ya Marov, Aleksander V. Kolesnichenko
    Pages 525-553

  10. Thermodynamic Model of MHD Turbulence and Some of Its Applications to Accretion Disks

    • Mikhail Ya Marov, Aleksander V. Kolesnichenko
    Pages 555-606

  11. Back Matter

    Pages 607-657
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Keywords

About this book

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.

Reviews

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)

Authors and Affiliations

  • Vernadsky Institute of Geochemistry, Moscow, Russia

    Mikhail Ya Marov

  • Russian Academy of Sciences, Department of Planetary Science & Aerono, Keldysh Institute of Applied Mathematics, Moscow, Russia

    Aleksander V. Kolesnichenko

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