60 citations · 272 across the 21 of their papers we have counts for
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math.AP2021★ 9 cited
Propagation of chaos and the higher order statistics in the wave kinetic theory
Yu Deng, Zaher Hani
This manuscript continues and extends in various directions the result in arXiv:2104.11204, which gave a full derivation of the wave kinetic equation (WKE) from the nonlinear Schrö…
math.AP2021★ 53 cited
Full derivation of the wave kinetic equation
Yu Deng, Zaher Hani
We provide the rigorous derivation of the wave kinetic equation from the cubic nonlinear Schrödinger (NLS) equation at the kinetic timescale, under a particular scaling law that de…
math.AP2021★ 15 cited
Invariant Gibbs measure and global strong solutions for the Hartree NLS equation in dimension three
Yu Deng, Andrea R. Nahmod, Haitian Yue
In this paper we consider the defocusing Hartree nonlinear Schrödinger equations on with real valued and even potential and Fourier multiplier decaying like $|k|^…