Speaker 1 : David Ambrose (Drexel University)
Date & Time : March 18th (Fri.), 2022 / 10:00-10:40PM (Tokyo (JST))
(--> March 18th (Fri.), 2022 / 9:00-9:40AM (Philadelphia (EDT)) )
Title : Traveling waves with multi-valued height
Abstract :
Traveling water waves have been studied for decades, usually with the assumption
that the surface is a graph with respect to the horizontal coordinate. However
we know that some waves exist which violate this condition, especially Crapper waves.
In work with Akers and Wright, we have reformulated the traveling wave problem
to allow interfaces with multi-valued height. We have applied this framework
both analytically and computationally, and will discuss these results including
for water waves and interfacial waves, and with surface tension and higher-order
hydroelastic effects.