Workshop on Abnormal Wave Events
5-6June 2014 Nice, France
* /weɪv to͞o ˈfôrˌtēn/

Singularity formation for the NLS model

Pierre Raphael
Laboratoire J.A Dieudonne
The focusing Non Linear Schrodinger equation is a canonical model in various physical models (nonlinear optics, fluid mechanics,...). I will report on a recent important mathematical activity on the singularity formation problem which is induced by the self focusing of the wave packet and the concentration of energy. I will make links with classical problems in modern mathematics.