Seminari del Dipartimento
Analisi Growth of Sobolev norms and beating effects for the NLS on tori Emanuele Haus 05-05-2016 - 17:00 Largo San Leonardo Murialdo,1 - Pal.C Aula 311
We prove existence of solutions to some NLS on tori exhibiting different qualitative behavior. On the one hand we construct solutions which undergo an arbitrarily large growth of the Sobolev norms for analytic NLS equations on T^2, on the other hand we construct quasi-periodic solutions with recurrent transfer of energy between the Fourier modes for the quintic NLS on the circle. |