Kolmogorov Spectra of Turbulence I

Wave Turbulence

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

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

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Vladimir E. Zakharov, Victor S. L’vov, Gregory Falkovich
    Pages 1-8
  3. Vladimir E. Zakharov, Victor S. L’vov, Gregory Falkovich
    Pages 9-62
  4. Vladimir E. Zakharov, Victor S. L’vov, Gregory Falkovich
    Pages 63-82
  5. Vladimir E. Zakharov, Victor S. L’vov, Gregory Falkovich
    Pages 83-143
  6. Vladimir E. Zakharov, Victor S. L’vov, Gregory Falkovich
    Pages 145-206
  7. Vladimir E. Zakharov, Victor S. L’vov, Gregory Falkovich
    Pages 207-244
  8. Vladimir E. Zakharov, Victor S. L’vov, Gregory Falkovich
    Pages 245-248
  9. Back Matter
    Pages 249-265

About this book

Introduction

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.

Keywords

Damping Dissipation Kinetische Gleichungen Plasma Turbulenz Wellenspektrum atmosphere kinetic equations spectra stability turbulence wave spectrum

Authors and affiliations

  • Vladimir E. Zakharov
    • 1
  • Victor S. L’vov
    • 2
  • Gregory Falkovich
    • 2
  1. 1.Landau Institute for Theoretical PhysicsRussian Academy of SciencesMoscowRussia
  2. 2.Physics DepartmentWeizmann Institute of ScienceRehovotIsrael

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-50052-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 1992
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-50054-1
  • Online ISBN 978-3-642-50052-7
  • Series Print ISSN 0940-2535
  • About this book