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math.PR2019
Explicit form of the effective evolution equation for the randomly forced Schrödinger equation with quadratic nonlinearity
Huilin Zhang, Elena Tobisch
An effective equation describes a weakly nonlinear wave field evolution governed by nonlinear dispersive PDEs \emph{via} the set of its resonances in an arbitrary big but finite do…
math.PR2019★ 13 cited
Deterministic homogenization under optimal moment assumptions for fast-slow systems. Part 2
Ilya Chevyrev, Peter K. Friz, Alexey Korepanov +2
We consider deterministic homogenization for discrete-time fast-slow systems of the form …