2 citations · 3 across the 3 of their papers we have counts for
4 papers
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…
Derivation of Euler equations from quantum and classical microscopic dynamics
Amirali Hannani, François Huveneers
We derive Euler equations from a Hamiltonian microscopic dynamics. The microscopic system is a one-dimensional disordered harmonic chain, and the dynamics is either quantum or clas…
A stochastic thermalization of the Discrete Nonlinear Schrödinger Equation
Amirali Hannani, Stefano Olla
We introduce a mass conserving stochastic perturbation of the discrete nonlinear Schrödinger equation that models the action of a heat bath at a given temperature. We prove that th…
Hydrodynamic limit for a disordered quantum harmonic chain
Amirali Hannani
In this note, we study the hydrodynamic limit, in the hyperbolic space-time scaling, for a one-dimensional unpinned chain of quantum harmonic oscillators with random masses. To the…