29 citations · 127 across the 17 of their papers we have counts for
17 papers
Inhomogeneous turbulence for the Wick nonlinear Schrödinger equation
Zaher Hani, Jalal Shatah, Hui Zhu
We introduce a simplified model for wave turbulence theory -- the Wick NLS, of which the main feature is the absence of all self-interactions in the correlation expansions of its s…
Kinetic equation for weak interaction of directional internal waves
Michal Shavit, Oliver Bühler, Jalal Shatah
Starting from the two-dimensional Boussinesq equation without rotation, we derive a kinetic equation for weak interaction of internal waves using non-canonical variables. We follow…
Nonlocal gravity wave turbulence in presence of condensate
A. O. Korotkevich, S. V. Nazarenko, Y. Pan +1
We develop a theory of turbulence of weak random gravity waves on surface of deep water in which the main nonlinear process at high-frequency part of the spectrum is a nonlocal int…
Direct verification of the kinetic description of wave turbulence for finite-size systems dominated by interactions among groups of 6 waves
J. W. Banks, T. Buckmaster, A. O. Korotkevich +2
The present work considers systems whose dynamics are governed by the nonlinear interactions among groups of 6 nonlinear waves, such as those described by the unforced quintic nonl…
Onset of the wave turbulence description of the longtime behavior of the nonlinear Schrödinger equation
Tristan Buckmaster, Pierre Germain, Zaher Hani +1
Consider the cubic nonlinear Schrödinger equation set on a d-dimensional torus, with data whose Fourier coefficients have phases which are uniformly distributed and independent. We…
Effective dynamics of the nonlinear Schrödinger equation on large domains
Tristan Buckmaster, Pierre Germain, Zaher Hani +1
We consider the nonlinear Schrödinger (NLS) equation posed on the box with periodic boundary conditions. The aim is to describe the long-time dynamics by deriving effecti…