Orateur
Eugen Vărvăruca
(U. Alexandru Ioan Cuza, Iași, Roumanie)
Description
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 explain 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. Some new a priori bounds and geometric
properties of the solutions on the global bifurcating branches will also
be presented. This is joint work with Adrian Constantin (University of
Vienna, Austria) and Walter Strauss (Brown University, USA).
Auteur principal
Eugen Vărvăruca
(U. Alexandru Ioan Cuza, Iași, Roumanie)
Co-auteurs
Adrian Constantin
(U. de Vienne, Autriche)
Walter Strauss
(Brown U., Providence, Etats-Unis)
