On the Gross-Pitaevskii equation for trapped dipolar quantum gases
  We study the time-dependent Gross-Pitaevskii equation describing Bose-Einstein condensation of trapped dipolar quantum gases. Existence and uniqueness as well as the possible blow-up of solutions are studied. Moreover, we discuss the problem of dimension-reduction for this nonlinear and nonlocal Schrodinger equation. 
R\'emi Carles (I3M), Peter Markowich (DAMTP), Christof Sparber (DAMTP)