On the wave turbulence theory for a stochastic KdV type equation--Generalization for the inhomogeneous kinetic limit
Starting from a stochastic Zakharov-Kuznetsov (ZK) equation on a lattice, the previous work
[ST21] by the last two authors gave a derivation of the homogeneous 3-wave kinetic …
[ST21] by the last two authors gave a derivation of the homogeneous 3-wave kinetic …
Rigorous justification of the wave kinetic theory
The main purpose of this expository note is to give a short account of the recent
developments in mathematical wave kinetic theory. After reviewing the physical theory, we …
developments in mathematical wave kinetic theory. After reviewing the physical theory, we …
On the wave turbulence theory for the beam wave equation
G Staffilani, MB Tran - arXiv preprint arXiv:2301.07903, 2023 - arxiv.org
Starting from the beam wave equation, which has a Schr\" odinger structure, on a hypercubic
lattice of size $ L $, with weak nonlinearity of strength $\lambda $, we show that the two point …
lattice of size $ L $, with weak nonlinearity of strength $\lambda $, we show that the two point …
Effective dynamics of the vector nonlinear Schrödinger equations on large domains
KZ Zhang - Journal of Mathematical Analysis and Applications, 2023 - Elsevier
We consider the vector nonlinear Schrödinger equation posed on the box with periodic
boundary conditions TL n, and derive the continuous resonant (CR) equation that describes …
boundary conditions TL n, and derive the continuous resonant (CR) equation that describes …