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Kolmogorov Spectra of Turbulence I pp 207–244Cite as

Physical Applications

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

Abstract

Now it is time for our theory to bear fruit and for us to harvest. In this chapter we shall recollect the results concerning specific physical systems and shall obtain some new results by specializing general approaches from the previous chapters. We shall try to describe most hitherto known facts with regard to the spectra of developed weak turbulence. The general model of wave turbulence adopted in this book is based on the detailed consideration of the wave-wave interaction. The interaction with the external environment was described by the function Γ(k) specifiying the decrement of wave attenuation or the growth-rate of wave instability. Nature is naturally more complex (for example, the interaction of water waves with wind and currents or wave-particle interactions in plasmas). Nevertheless, we believe the following fomulas and interpretations to provide a good basis for the further development of the theory of wave turbulence in various systems each of which might require a separate monograph for an adequate detailed description.

... a time to gather stones together

Ecclesiastes

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Authors and Affiliations

  1. Landau Institute for Theoretical Physics, Russian Academy of Sciences, ul. Kosygina 2, 117334, Moscow, Russia

    Professor Dr. Vladimir E. Zakharov

  2. Physics Department, Weizmann Institute of Science, 76100, Rehovot, Israel

    Professor Dr. Victor S. L’vov & Dr. Gregory Falkovich

Authors
  1. Professor Dr. Vladimir E. Zakharov
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  2. Professor Dr. Victor S. L’vov
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  3. Dr. Gregory Falkovich
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© 1992 Springer-Verlag Berlin Heidelberg

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Zakharov, V.E., L’vov, V.S., Falkovich, G. (1992). Physical Applications. In: Kolmogorov Spectra of Turbulence I. Springer Series in Nonlinear Dynamics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-50052-7_6

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  • DOI: https://doi.org/10.1007/978-3-642-50052-7_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-50054-1

  • Online ISBN: 978-3-642-50052-7

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