115 citations · 197 across the 10 of their papers we have counts for
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Differential approximation for Kelvin-wave turbulence
Sergey Nazarenko
I present a nonlinear differential equation model (DAM) for the spectrum of Kelvin waves on a thin vortex filament. This model preserves the original scaling of the six-wave kineti…
Sandpile behaviour in discrete water-wave turbulence
Sergey Nazarenko
We construct a sandpile model for evolution of the energy spectrum of the water surface waves in finite basins. This model take into account loss of resonant wave interactions in d…
Discreteness and its effect on the water-wave turbulence
Yuri V. Lvov, Sergey Nazarenko, Boris Pokorni
We perform numerical simulations of the dynamical equations for free water surface in finite basin in presence of gravity. Wave Turbulence (WT) is a theory derived for describing s…
Joint statistics of amplitudes and phases in Wave Turbulence
Yeontaek Choi, Yuri V. Lvov, Sergey Nazarenko
Random Phase Approximation (RPA) provides a very convenient tool to study the ensembles of weakly interacting waves, commonly called Wave Turbulence. In its traditional formulation…
Wave Turbulence
Yeontaek Choi, Yuri V. Lvov, Sergey Nazarenko
In this paper we review recent developments in the statistical theory of weakly nonlinear dispersive waves, the subject known as Wave Turbulence (WT). We revise WT theory using a g…