The last decade has seen a significant increase in the number of studies devoted to wave
turbulence. Many deal with water waves, as modeling of ocean waves has historically …

Wave Turbulence refers to the statistical theory of weakly nonlinear dispersive waves. There
is a wide and growing spectrum of physical applications, ranging from sea waves, to plasma …

We overview the wave turbulence approach by example of one physical system: gravity
waves on the surface of an infinitely deep fluid. In the theoretical part of our review, we …

Nonlinear resonance analysis is a unique mathematical tool that can be used to study
resonances in relation to, but independently of, any single area of application. This is the first …

We consider the cubic nonlinear Schrödinger (NLS) equation set on a two-dimensional box
of size $ L $ with periodic boundary conditions. By taking the large-box limit $ L\to\infty $ in …

In this paper, we present an overview of concepts and data concerning inverse cascades of
excitation towards scales larger than the forcing scale in a variety of contexts, from two …

We study the energy transfer by exact resonances for deep-water surface gravity waves in a
finite periodic spatial domain. Based on a kinematic model simulating the generation of …

We present an experimental study on gravity capillary wave turbulence in water. By using
space-time resolved Fourier transform profilometry, the behavior of the wave energy density …

Classical nonlinear waves exhibit a phenomenon of condensation that results from the
natural irreversible process of thermalization toward the Rayleigh-Jeans equilibrium …

In this paper, we numerically study the wave turbulence of surface gravity waves in the
framework of Euler equations of the free surface. The purpose is to understand the variation …