Analysis Seminar

Large-Amplitude Solitary Water Waves with Vorticity

Speaker: Miles Wheeler, Brown University

Location: Warren Weaver Hall 1302

Date: Thursday, May 15, 2014, 11 a.m.


In this talk, we will construct exact solitary water waves of large amplitude and with an arbitrary distribution of vorticity. Starting from a shear flow with a flat free surface, we use a degree-theoretic continuation argument to construct a global connected set of symmetric solitary waves of elevation, whose profiles decrease monotonically on either side of a central crest. We will also discuss solitary waves generated by a non-constant pressure on the free surface.