University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Doubly periodic travelling gravity-capillary and hydroelastic surface waves

Doubly periodic travelling gravity-capillary and hydroelastic surface waves

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact nobody.

HYD2 - Dispersive hydrodynamics: mathematics, simulation and experiments, with applications in nonlinear waves

A doubly periodic travelling surface wave is periodic in two independent horizontal directions. Small-amplitude doubly periodic gravity-capillary water waves with arbitrary periodic domains have been constructed by two different methods, namely using spatial dynamics and a Lyapunov centre theorem (notably by Groves and Haragus) and using Dirichlet-Neumann formalism and Lyapunov-Schmidt reduction (notably by Craig and Nicholls). In this talk I review these methods and show how both can be refined. I will discuss how the refined methods can be used in existence theories for small-amplitude doubly periodic hydroelastic waves.  

This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity