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  • Book
  • © 2011

Wave Turbulence

Authors:

  • Written by a leading researcher in the field
  • Self-contained, can be used as textbook
  • Contains numerous exercises and solutions
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Physics (LNP, volume 825)

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-xvi
  2. Introduction

    • Sergey Nazarenko
    Pages 1-14
  3. Primer on Wave Turbulence

    1. Front Matter

      Pages 15-15
    2. For the Impatient: A WT Cheatsheet

      • Sergey V. Nazarenko
      Pages 29-48
    3. Solutions to Exercises

      • Sergey V. Nazarenko
      Pages 49-52
  4. Wave Turbulence Closures

    1. Front Matter

      Pages 53-53
  5. Wave Turbulence closures

    1. Statistical Objects in Wave Turbulence

      • Sergey V. Nazarenko
      Pages 55-66
    2. Wave Turbulence Formalism

      • Sergey V. Nazarenko
      Pages 67-105
    3. Solutions to Exercises

      • Sergey V. Nazarenko
      Pages 107-116
  6. Wave Turbulence Predictions

    1. Front Matter

      Pages 117-117
  7. Wave Turbulence predictions

    1. Finite-Size Effects in Wave Turbulence

      • Sergey Nazarenko
      Pages 163-171
    2. Solutions to Exercises

      • Sergey Nazarenko
      Pages 185-188
  8. Selected Applications

    1. Front Matter

      Pages 189-189
    2. Nonlocal Drift/Rossby Wave Turbulence

      • Sergey Nazarenko
      Pages 191-208
    3. Magneto-Hydrodynamic Turbulence

      • Sergey Nazarenko
      Pages 209-230
    4. Bose-Einstein Condensation

      • Sergey V. Nazarenko
      Pages 231-268

About this book

Wave Turbulence refers to the statistical theory of weakly nonlinear dispersive waves. There is a wide and growing spectrum of physical applications, ranging from sea waves, to plasma waves, to superfluid turbulence, to nonlinear optics and Bose-Einstein condensates. Beyond the fundamentals the book thus also covers new developments such as the interaction of random waves with coherent structures (vortices, solitons, wave breaks), inverse cascades leading to condensation and the transitions between weak and strong turbulence, turbulence intermittency as well as finite system size effects, such as “frozen” turbulence, discrete wave resonances and avalanche-type energy cascades. This book is an outgrow of several lectures courses held by the author and, as a result, written and structured rather as a graduate text than a monograph, with many exercises and solutions offered along the way. The present compact description primarily addresses students and non-specialist researchers wishing to enter and work in this field.

Reviews

From the reviews:

“The author, Prof. S. Nazarenko, is a theoretical physicist and a widely known specialist of various aspects of turbulence theory and waves. … Nazarenko’s book is very interesting, competent and well-written. … It should prove useful for graduate students and researchers in geophysical fluid mechanics (ocean-related flows, atmospheric flows, etc.), astrophysics, turbulence, plasma physics and physics of condensed matter.” (Andrzej Icha, Pure and Applied Geophysics, Vol. 169, 2012)

Authors and Affiliations

  • Inst. Mathematics, University of Warwick, Coventry, United Kingdom

    Sergey Nazarenko

Bibliographic Information

Buy it now

Buying options

eBook USD 49.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access