191 citations · 708 across the 83 of their papers we have counts for
3 papers · 1 filter
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…
On decaying properties of nonlinear Schrödinger equations
Chenjie Fan, Gigliola Staffilani, Zehua Zhao
In this paper we discuss quantitative (pointwise) decay estimates for solutions to the 3D cubic defocusing Nonlinear Schrödinger equation with various initial data, deterministic a…
A rigorous derivation of the Hamiltonian structure for the Vlasov equation
Joseph K. Miller, Andrea R. Nahmod, Nataša Pavlović +2
We consider the Vlasov equation in any spatial dimension, which has long been known to be an infinite-dimensional Hamiltonian system whose bracket structure is of Lie-Poisson type.…