Advances In Wave Turbulence

Wave or weak turbulence is a branch of science concerned with the evolution of random wave fields of all kinds and on all scales, from waves in galaxies to capillary waves on water surface, from waves in nonlinear optics to quantum fluids. In spite of the enormous diversity of wave fields in nature, there is a common conceptual and mathematical core which allows to describe the processes of random wave interactions within the same conceptual paradigm, and in the same language. The development of this core and its links with the applications is the essence of wave turbulence science (WT) which is an established integral part of nonlinear science.

The book comprising seven reviews aims at discussing new challenges in WT and perspectives of its development. A special emphasis is made upon the links between the theory and experiment. Each of the reviews is devoted to a particular field of application (there is no overlap), or a novel approach or idea. The reviews cover a variety of applications of WT, including water waves, optical fibers, WT experiments on a metal plate and observations of astrophysical WT.
Contents:Wave Turbulence, A Story Far from Over (Alan C Newell and Benno Rumpf)Fluctuations of the Energy Flux in Wave Turbulence (S Aumaître, E Falcon and S Fauve)Wave Turbulence in Astrophysics (Sebastien Galtier)Optical Wave Turbulence (S K Turitsyn, S A Babin, E G Turitsyna, G E Falkovich, E V Podivilov and D V Churkin)Wave Turbulence in a Thin Elastic Plate: The Sound of the Kolmogorov Spectrum? (G Düring and N Mordant)Gravity Wave Turbulence in a Large Flume (R Bedard, S Lukaschuk and S Nazarenko)Towards a New Picture of Wave Turbulence (V I Shrira and S Y Annenkov)
Readership: Researchers, professionals and graduate students in mathematical physics, energy studies, solid & fluid mechanics, and complex systems.