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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.
List of contents
Advances in Wind Wave Turbulence (V E Zakharov); Wave Turbulence, A Story Far From Over (A C Newell & B Rumpf); Advances in Gravity-Capillary Wave Turbulence (S Fauve & E Falcon); Wave Turbulence in Astrophysical Plasmas (S Galtier); Weak Turbulence of Inertia-Gravity Waves in the Atmosphere and Ocean (Vladimir Tseitline); Optical Wave Turbulence in Fibre Lasers (S K Turitsyn & G E Falkovich); Wave Turbulence on Elastic Plates (N Mordant); Surface Gravity Wave Turbulence in the Laboratory (S Lukaschuk & S Nazarenko); Towards a New Picture of Wave Turbulence (V Shrira & S Annenkov).
