Modul:   MAT673  Seminar PDE and Mathematical Physics

Growth of Sobolev norms for the quintic NLS on T^2

Talk by Prof. Dr. Michela Procesi

Speaker invited by: Prof. Dr. Thomas Kappeler

Date: 23.10.14  Time: 18.15 - 19.15  Room: Y27H35/36

I will consider the quintic non-linear Schrodinger equation on a two-dimensional torus and exhibit orbits whose Sobolev norms grow with time. The main point is to make use of an accurate combinatorial analysis in order to reduce to a sufficiently simple toy model, similar in many ways to the one used for the case of the cubic NLS. I will also discuss the generalization to general analytic NLS equations.