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math.AP2015★ 14 cited
On the continuous resonant equation for NLS: II. Statistical study
Pierre Germain, Zaher Hani, Laurent Thomann
We consider the continuous resonant (CR) system of the 2D cubic nonlinear Schr{ö}dinger (NLS) equation. This system arises in numerous instances as an effective equation for the lo…
math.AP2015★ 10 cited
On the continuous resonant equation for NLS: I. Deterministic analysis
Pierre Germain, Zaher Hani, Laurent Thomann
We study the continuous resonant (CR) equation which was derived by Faou-Germain-Hani as the large-box limit of the cubic nonlinear Schrödinger equation in the small nonlinearity (…