PDE Seminar

Speaker: 
Chongchun Zeng
Topic: 
Steady water waves with localized vorticity

Abstract:
We consider the capillary-gravity water wave problem – the free boundary problem of the Euler equation with gravity and surface tension – and construct finite energy steady waves with vorticity based on a perturbation approach.  Unlike those bifurcating from shear flows, the vorticity of these solutions are highly concentrated, including traveling waves with compactly supported vorticity and smooth stationary waves with rapidly decaying vorticity.

Event Date: 
October 16, 2019 - 3:30pm to 4:20pm
Location: 
SH 75
Calendar Category: 
Seminar
Seminar Category: 
PDE