Wave Turbulence

  • Sergey Nazarenko
Part of the Lecture Notes in Physics book series (LNP, volume 825)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Sergey Nazarenko
    Pages 1-14
  3. Primer on Wave Turbulence

    1. Front Matter
      Pages 15-15
    2. Sergey V. Nazarenko
      Pages 29-48
    3. Sergey V. Nazarenko
      Pages 49-52
  4. Wave Turbulence Closures

    1. Front Matter
      Pages 53-53
  5. Wave Turbulence closures

    1. Sergey V. Nazarenko
      Pages 55-66
    2. Sergey V. Nazarenko
      Pages 67-105
    3. Sergey V. Nazarenko
      Pages 107-116
  6. Wave Turbulence Predictions

    1. Front Matter
      Pages 117-117
  7. Wave Turbulence predictions

  8. Selected Applications

    1. Front Matter
      Pages 189-189
    2. Sergey Nazarenko
      Pages 191-208
    3. Sergey Nazarenko
      Pages 209-230
    4. Sergey V. Nazarenko
      Pages 231-268

About this book

Introduction

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.

Keywords

fluid vortices geophysical flows nonlinear optics nonlinear waves solitons turbulences

Authors and affiliations

  • Sergey Nazarenko
    • 1
  1. 1.Inst. MathematicsUniversity of WarwickCoventryUnited Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-15942-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-15941-1
  • Online ISBN 978-3-642-15942-8
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361