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Kolmogorov Spectra of Turbulence I

Wave Turbulence

  • Book
  • © 1992

Overview

Authors:
  1. Vladimir E. Zakharov

    1. Landau Institute for Theoretical Physics, Russian Academy of Sciences, Moscow, Russia

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  2. Victor S. L’vov

    1. Physics Department, Weizmann Institute of Science, Rehovot, Israel

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    You can also search for this author in PubMed   Google Scholar

  3. Gregory Falkovich

    1. Physics Department, Weizmann Institute of Science, Rehovot, Israel

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Part of the book series: Springer Series in Nonlinear Dynamics (SSNONLINEAR)

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-XIII
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  2. Introduction

    • Vladimir E. Zakharov, Victor S. L’vov, Gregory Falkovich
    Pages 1-8

  3. Equations of Motion and the Hamiltonian Formalism

    • Vladimir E. Zakharov, Victor S. L’vov, Gregory Falkovich
    Pages 9-62

  4. Statistical Description of Weak Wave Turbulence

    • Vladimir E. Zakharov, Victor S. L’vov, Gregory Falkovich
    Pages 63-82

  5. Stationary Spectra of Weak Wave Turbulence

    • Vladimir E. Zakharov, Victor S. L’vov, Gregory Falkovich
    Pages 83-143

  6. The Stability Problem and Kolmogorov Spectra

    • Vladimir E. Zakharov, Victor S. L’vov, Gregory Falkovich
    Pages 145-206

  7. Physical Applications

    • Vladimir E. Zakharov, Victor S. L’vov, Gregory Falkovich
    Pages 207-244

  8. Conclusion

    • Vladimir E. Zakharov, Victor S. L’vov, Gregory Falkovich
    Pages 245-248

  9. Back Matter

    Pages 249-265
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Keywords

About this book

Since the human organism is itself an open system, we are naturally curious about the behavior of other open systems with fluxes of matter, energy or information. Of the possible open systems, it is those endowed with many degrees of freedom and strongly deviating from equilibrium that are most challenging. A simple but very significant example of such a system is given by developed turbulence in a continuous medium, where we can discern astonishing features of universality. This two-volume monograph deals with the theory of turbulence viewed as a general physical phenomenon. In addition to vortex hydrodynamic turbulence, it considers various cases of wave turbulence in plasmas, magnets, atmosphere, ocean and space. A sound basis for discussion is provided by the concept of cascade turbulence with relay energy transfer over different scales and modes. We shall show how the initial cascade hypothesis turns into an elegant theory yielding the Kolmogorov spectra of turbulence as exact solutions. We shall describe the further development of the theory discussing stability prob­ lems and modes of Kolmogorov spectra formation, as well as their matching with sources and sinks. This volume is dedicated to developed wave turbulence in different media.

Authors and Affiliations

  • Landau Institute for Theoretical Physics, Russian Academy of Sciences, Moscow, Russia

    Vladimir E. Zakharov

  • Physics Department, Weizmann Institute of Science, Rehovot, Israel

    Victor S. L’vov, Gregory Falkovich

Bibliographic Information

  • Book Title: Kolmogorov Spectra of Turbulence I

  • Book Subtitle: Wave Turbulence

  • Authors: Vladimir E. Zakharov, Victor S. L’vov, Gregory Falkovich

  • Series Title: Springer Series in Nonlinear Dynamics

  • DOI: https://doi.org/10.1007/978-3-642-50052-7

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1992

  • Softcover ISBN: 978-3-642-50054-1Published: 25 July 2012

  • eBook ISBN: 978-3-642-50052-7Published: 06 December 2012

  • Series ISSN: 0940-2535

  • Edition Number: 1

  • Number of Pages: XIII, 264

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Complex Systems, Fluid- and Aerodynamics, Statistical Physics and Dynamical Systems

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