11 citations · 23 across the 13 of their papers we have counts for
5 papers · 1 filter
A non-linear adiabatic theorem for the one-dimensional Landau-Pekar equations
Rupert L. Frank, Zhou Gang
We discuss a one-dimensional version of the Landau-Pekar equations, which are a system of coupled differential equations with two different time scales. We derive an approximation…
Ballistic Motion of a Tracer Particle Coupled to a Bose gas
Juerg Froehlich, Zhou Gang
We study the motion of a heavy tracer particle weakly coupled to a dense interacting Bose gas exhibiting Bose-Einstein condensation. In the so-called mean-field limit, the dynamics…
Dynamics of Nonlinear Schrodinger / Gross-Pitaevskii Equations; Mass Transfer in Systems with Solitons and Degenerate Neutral Modes
Zhou Gang, Michael Weinstein
Nonlinear Schrodinger / Gross-Pitaevskii equations play a central role in the understanding of nonlinear optical and macroscopic quantum systems. The large time dynamics of such sy…
Relaxation of Solitons in Nonlinear Schrodinger Equations with Potential
Zhou Gang, I. M. Sigal
In this paper we study dynamics of solitons in the generalized nonlinear Schrödinger equation (NLS) with an external potential in all dimensions except for 2. For a certain class o…
On Soliton Dynamics in Nonlinear Schrodinger Equations
Zhou Gang, I. M. Sigal
In this paper we announce the result of asymptotic dynamics of solitons of nonlinear Schrodinger equations with external potentials. To each local minima of the potential there is…