Wave Turbulence

The widening spectrum of physical applications of wave turbulence theory ranges from plasma waves to Bose-Einstein condensates. Arising from lectures given by the author, this volume is structured as a graduate text and includes exercises and solutions.

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.

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

Inhalt
Introduction.- Wave Trubulence as a Part of General Turbulence Theory.- For the Impatint: a WT Cheatsheet.- Solutions to Exercises.- Statistical Objects in Wave Turbulence.- Wave Turbulence Formalism.- Solutions to Exercises.- Conserved Quantities in Wave Turbulence and Their Cascades.- Steady State and Evolving Solutions for the Wave Sepctrum.- Finite-Size Effects in Wave Turbulence.- Properties of the Higher-order Statistics. Intermitency and WT Life Cycle.- Solutions to Exercises.- Nonlocal Drift/Rossby Wave Turbulence.- Magneto-Hydrodynamic Trubulence.- Bose-Einstein Condensation.- List of Projects.