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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…