Institut für Mathematik

PDE and Mathematical Physics

Zeiten:
Do 15.00 - 16.00 Raum: Y27H46
Organisiert von:
Prof. Dr. Thomas Kappeler, Dr. Xavier Ros-Oton, Prof. Dr. Benjamin Schlein

I shall present recent results about the complex dynamics of the water waves equations of a bi-dimensional fluid under the action of gravity and eventually capillary forces, with space periodic boundary conditions. This is an infinite dimensional Hamiltonian system. We shall discuss both long time existence results as well as bifurcation of small amplitude time quasi-periodic solutions. Major difficulties are the quasi-linear nature of the water waves equations and complex resonance phenomena.

Talks

20.09.2018
[Video] Weak turbulence
Änderung Zeit:18.10-19.00 Raum: Y27H35/36
Anne-Sophie de Suzzoni
Université Paris 13

27.09.2018
Alix Deleporte
University of Strasbourg


25.10.2018
Xavier Ros-Oton
Universität Zürich

08.11.2018
Anne-Sophie de Suzzoni
Université Paris 13

15.11.2018
Massimiliano Berti
SISSA

22.11.2018
Clement Mouhot
Cambridge University


13.12.2018
Jean-Pierre Marco
Université Pierre et Marie Curie - Paris 6

I shall present recent results about the complex dynamics of the water waves equations of a bi-dimensional fluid under the action of gravity and eventually capillary forces, with space periodic boundary conditions. This is an infinite dimensional Hamiltonian system. We shall discuss both long time existence results as well as bifurcation of small amplitude time quasi-periodic solutions. Major difficulties are the quasi-linear nature of the water waves equations and complex resonance phenomena.

Modul: MAT675 Seminar PDE and Mathematical Physics