skip to content

Global bifurcation of steady gravity water waves with constant vorticity

Presented by: 
Eugen Varvaruca Universitatea Alexandru Ioan Cuza, University of Reading
Tuesday 8th August 2017 - 16:00 to 17:00
INI Seminar Room 1
We consider the problem of two-dimensional travelling water waves propagating under the influence of gravity in a flow of constant vorticity over a flat bed. By using a conformal mapping from a strip onto the fluid domain, the governing equations are recasted as a one-dimensional pseudodifferential equation that generalizes Babenko's equation for irrotational waves of infinite depth. We show how an application of the theory of global bifurcation in the real-analytic setting leads to the existence of families of waves of large amplitude that may have critical layers and/or overhanging profiles. This is joint work with Adrian Constantin and Walter Strauss.
The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons