Professor Jean-Claude Saut, Département de Mathématiques de la Faculté des Sciences d'Orsay, Université Paris-Sud
Title
Dispersive blow-up for Schrödinger type equations
Time
2014.4.10 4:00-5:00pm
Venue
C110
Abstract
We will present new results on the dispersive blow-up phenomenon for Schr?dinger type equations. In particular we obtain the optimal result for the nonlinear Schr?dinger equation by proving an apparently new smoothing effect. We also consider the Davey-Stewartson systems and the Gross-Pitaevski equation and various linear Schr?dinger equations with classical potentials. The dispersive blow-up is one of the possible explanations for the formation of rogue waves in oceanography and nonlinear optics.
