30 citations · 41 across the 8 of their papers we have counts for
10 papers · 1 filter
Stochastic acceleration of solitons for the nonlinear Schrödinger equation
Walid K. Abou Salem, Catherine Sulem
The effective dynamics of solitons for the generalized nonlinear Schrödinger equation in a random potential is rigorously studied. It is shown that when the external potential vari…
A remark on the mean-field dynamics of many-body bosonic systems with random interactions
Walid K. Abou Salem
The mean-field limit for the dynamics of bosons with random interactions is rigorously studied. It is shown that, for interactions that are almost-surely bounded, the many-body qua…
Effective Dynamics of Solitons in the Presence of Rough Nonlinear Perturbations
Walid K. Abou Salem
The effective long-time dynamics of solitary wave solutions of the nonlinear Schrödinger equation in the presence of rough nonlinear perturbations is rigorously studied. It is show…
Solitary wave dynamics in time-dependent potentials
Walid K. Abou Salem
We rigorously study the long time dynamics of solitary wave solutions of the nonlinear Schrödinger equation in {\it time-dependent} external potentials. To set the stage, we first…
On the Fluctuations of Macroscopic Observables in Quantum Nonequilibrium Steady States
Walid K. Abou Salem
The fluctuations of macroscopic observables in quantum systems which are in a nonequilibrium steady state are studied rigorously in the thermodynamic limit. In particular, the none…
Adiabatic theorems for quantum resonances
Walid K. Abou Salem, Juerg Froehlich
We study the adiabatic time evolution of quantum resonances over time scales which are small compared to the lifetime of the resonances. We consider three typical examples of reson…