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math.AP2023
Scattering, random phase and wave turbulence
Erwan Faou, Antoine Mouzard
We start from the remark that in wave turbulence theory, exemplified by the cubic twodimensional Schr{ö}dinger equation (NLS) on the real plane, the regularity of the resonant mani…
math.AP2023
Modulation algorithm for the nonlinear Schr{ö}dinger equation
Erwan Faou, Yoann Le Henaff, Pierre Raphaël
Based on recent ideas, stemming from the use of bubbles, we discuss an algorithm for the numerical simulation of the cubic nonlinear Schr{ö}dinger equation with harmonic potential…