By Victor Shrira, Sergei Nazarenko
Wave or susceptible turbulence is a department of technology occupied with the evolution of random wave fields of all types and on all scales, from waves in galaxies to capillary waves on water floor, from waves in nonlinear optics to quantum fluids. even with the big variety of wave fields in nature, there's a universal conceptual and mathematical center which permits to explain the strategies of random wave interactions in the similar conceptual paradigm, and within the similar language. the advance of this middle and its hyperlinks with the functions is the essence of wave turbulence technological know-how (WT) that's a longtime imperative a part of nonlinear technology.
The ebook comprising seven experiences goals at discussing new demanding situations in WT and views of its improvement. a unique emphasis is made upon the hyperlinks among the idea and scan. all of the studies is dedicated to a specific box of program (there is not any overlap), or a singular strategy or concept. The stories disguise quite a few purposes of WT, together with water waves, optical fibers, WT experiments on a steel plate and observations of astrophysical WT.
Readership: Researchers, pros and graduate scholars in mathematical physics, power stories, strong & fluid mechanics, and intricate structures.
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Additional info for Advances in Wave Turbulence
3. The Russian group studied capillary turbulence on quantum ﬂuids, liquid hydrogen and helium in both its normal and superﬂuid states. 2. 7, and the group studied the transition between this and the KZ regime. We do not understand why the diﬀerence between narrow (not expected to follow wave turbulence theory) and broadband forcing in the Russian experiments should be so much greater than that observed by the Paris group. 2. Gravity wave turbulence The views expressed in this section have been informed by experimental results of Donelan et al.
Damping may be applied at low |k| in order to avoid the formation of a condensate of long waves, and at high k corresponding to viscosity or hyperviscosity. The driving force may be applied at some intermediate wavenumber. , 2001). For this choice of λ, the coupling energy ωk nk dk and the quartic part of the Hamiltonian − |u|4 dx/2 have opposite signs, so that a matching growth of these two contributions can take place on a phase space shell with ﬁxed H during a collapse. g. , 1999, 2001) that collapses emerge from a modulational instability of waves.
7, and the group studied the transition between this and the KZ regime. We do not understand why the diﬀerence between narrow (not expected to follow wave turbulence theory) and broadband forcing in the Russian experiments should be so much greater than that observed by the Paris group. 2. Gravity wave turbulence The views expressed in this section have been informed by experimental results of Donelan et al. (1992, 2005, 2006) and Toba (1972, 1973a, 1973b, 1997), by the books of Young (1999) and Phillips (1977), by the numerical simulations of both the forced and damped kinetic and water wave equations by Badulin et al.
Advances in Wave Turbulence by Victor Shrira, Sergei Nazarenko