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 …

The nonlinear propagation of coherent optical fields has been extensively explored in the
framework of nonlinear optics, while the linear propagation of incoherent fields has been …

Theoretical studies on wave turbulence predict that a purely classical system of random
waves can exhibit a process of condensation, which originates in the singularity of the …

We consider the cubic defocusing nonlinear Schrödinger equation on the two dimensional
torus. We exhibit smooth solutions for which the support of the conserved energy moves to …

In this article, we state and review the premises on which a successful asymptotic closure of
the moment equations of wave turbulence is based, describe how and why this closure …

We study, analytically and with lattice simulations, the decay of coherent field oscillations
and the subsequent thermalization of the resulting stochastic classical wave field. The …

Ecologists sometimes have a less-than-rigorous background in quantitative methods, yet
research within this broad field is becoming increasingly mathematical. Written in a step-by …

Hybrid languages are expansions of propositional modal languages which can refer to (or
even quantify over) worlds. The use of strong hybrid languages dates back to at least [Pri67] …

A weak wave turbulence theory is established for incompressible fluids under rapid rotation
using a helicity decomposition, and the kinetic equations for energy E and helicity H are …

Abstract The observation of Bose–Einstein condensation, in which particle interactions lead
to a thermodynamic transition into a single, macroscopically populated coherent state, is a …