Wave Seminar A stochastic NLS arising in Bose Einstein condensation

2007-12-14 16:00 - 2007-12-14 17:30
Faculty of Science Building #4 Room 409
Reika Fukuizumi (Hokkaido Univ.)
We study from a mathematical point of view a model equation for BoseEinstein condensation, in the case where the trapping potential variesrandomly in time. The model is a nonlinear Schrodinger equation, with aquadratic potential with white noise fluctuations in time. We prove theexistence of solutions in 1D and 2D in the energy space. The blow-upphenomenon will also be discussed under critical and super criticalnonlinear interactions in the attractive case. This is a joint work withAnne de Bouard (Ecole Polytechnique, France).(I will give this talk in Japanese.)