Stochastic fluctuations in the Gross–Pitaevskii equation
Stochastic fluctuations in the Gross–Pitaevskii equation
We study from a mathematical point of view a model equation for a Bose–Einstein condensation, in the case where the trapping potential varies randomly in time. The model is the so-called Gross–Pitaevskii equation, with a quadratic potential with white noise fluctuations in time. We prove the existence of solutions in …