PDE seminar: Multi-solitons for the water-waves system

2013-7-22 16:30 - 2013-7-22 17:30
Faculty of Science Building #3, Room 309
Nikolay Tzvetkov (Université de Cergy-Pontoise)
We will present the construction of multi-solitons solutions (that is to say solutions that are time asymptotics to a sum of decoupling solitary waves) for the full water waves system with surface tension. This is a generalization of similar results obtained for strongly simplified model equations such as the KdV equation. The construction is quite different compared with the one solitons obtained in the classical work by Amick-Kirchgassner.
The talk is based on a joint work with Mei Ming and Frederic Rousset.