Logo

Mathematical Sciences Research Institute

Home » Workshop » Schedules » Dynamics of Water Waves

Dynamics of Water Waves

Hamiltonian systems, from topology to applications through analysis I October 08, 2018 - October 12, 2018

October 10, 2018 (10:30 AM PDT - 11:30 AM PDT)
Speaker(s): Massimiliano Berti (International School for Advanced Studies (SISSA/ISAS))
Location: MSRI: Simons Auditorium
Tags/Keywords
  • water waves

  • KAM for PDEs

  • Birkhoff normal form

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
Video

Abstract

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.

Supplements
Asset no preview Notes 3.07 MB application/pdf Download
Video/Audio Files

11-Berti

H.264 Video 11-Berti.mp4 185 MB video/mp4 Download
Buy the DVD

If none of the options work for you, you can always buy the DVD of this lecture. The videos are sold at cost for $20USD (shipping included). Please Click Here to send an email to MSRI to purchase the DVD.

See more of our Streaming videos on our main VMath - Streaming Video page.