Speaker
Juan Dávila
(BATH)
Description
(Juan Dávila - University of Bath)
We obtain solutions for an overdetermined elliptic problem, yielding solitary waves, which are non-graphical, in a fluid at constant vorticity. Despite numerical evidence for their existence, the construction of these nearly singular solutions proves challenging using complex variables or bifurcation theory. Our approach is reminiscent of the desingularization process applied to constant mean curvature surfaces. This is work in with Manuel del Pino, Monica Musso, and Miles Wheeler from the University of Bath.
