11 citations · 14 across the 8 of their papers we have counts for
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math.AP2022★ 2 cited
On the wave turbulence theory for a stochastic KdV type equation -- Generalization for the inhomogeneous kinetic limit
Amirali Hannani, Matthew Rosenzweig, Gigliola Staffilani +1
Starting from a stochastic Zakharov-Kuznetsov (ZK) equation on a lattice, the previous work [ST21] by the last two authors gave a derivation of the homogeneous 3-wave kinetic equat…
math.NA2022★ 1 cited
A Deep Learning Approximation of Non-Stationary Solutions to Wave Kinetic Equations
Steven Walton, Minh-Binh Tran, Alain Bensoussan
We present a deep learning approximation, stochastic optimization based, method for wave kinetic equations. To build confidence in our approach, we apply the method to a Smoluchows…