One-dimensional wave turbulence

V Zakharov, F Dias, A Pushkarev - Physics Reports, 2004 - Elsevier
The problem of turbulence is one of the central problems in theoretical physics. While the
theory of fully developed turbulence has been widely studied, the theory of wave turbulence …

Wave turbulence in quantum fluids

GV Kolmakov, PVE McClintock… - Proceedings of the …, 2014 - National Acad Sciences
Wave turbulence (WT) occurs in systems of strongly interacting nonlinear waves and can
lead to energy flows across length and frequency scales much like those that are well known …

Direct evidence of a dual cascade in gravitational wave turbulence

S Galtier, SV Nazarenko - Physical Review Letters, 2021 - APS
We present the first direct numerical simulation of gravitational wave turbulence. General
relativity equations are solved numerically in a periodic box with a diagonal metric tensor …

Quasiadiabatic decay of capillary turbulence on the charged surface of liquid hydrogen

GV Kolmakov, AA Levchenko, MY Brazhnikov… - Physical review …, 2004 - APS
We study the free decay of capillary turbulence on the charged surface of liquid hydrogen.
We find that decay begins from the high frequency end of the spectral range, while most of …

Wave turbulence: the case of capillary waves

S Galtier - Geophysical & Astrophysical Fluid Dynamics, 2021 - Taylor & Francis
Capillary waves are perhaps the simplest example to consider for an introduction to wave
turbulence. Since the first paper by Zakharov and Filonenko, capillary wave turbulence has …

Capillary turbulence on the surfaces of quantum fluids

GV Kolmakov, MY Brazhnikov, AA Levchenko… - Progress in Low …, 2009 - Elsevier
We discuss the results of recent studies of weak turbulence in a system of capillary waves on
the surface of liquid hydrogen and of helium 4 He in normal and superfluid state. It was …

Wave turbulence of a liquid surface in an external tangential electric field

EA Kochurin - JETP Letters, 2019 - Springer
A direct numerical simulation of the interaction of plane capillary waves on the surface of a
liquid dielectric in an external tangential electric field taking into account viscous forces has …

Numerical simulation of the wave turbulence on the surface of a ferrofluid in a horizontal magnetic field

EA Kochurin - Journal of Magnetism and Magnetic Materials, 2020 - Elsevier
The turbulence of capillary waves on the surface of a ferrofluid with a high permeability in a
horizontal magnetic field is considered in the framework of a one-dimensional weakly …

The turbulence of capillary waves on the surface of liquid hydrogen

MY Brazhnikov, GV Kolmakov… - Journal of Experimental …, 2002 - Springer
It is experimentally demonstrated that the surface excitation of liquid hydrogen at a low
frequency results in the turbulent mode in a system of capillary waves. The experimental …

Decay of capillary turbulence on the surface of a viscous liquid

GV Kolmakov - JETP letters, 2006 - Springer
Decay of the turbulence of capillary waves on the surface of a real liquid is studied in the
presence of the viscous damping of the waves at all frequencies after stepwise removal of …