Steady water waves with localized vorticity

[TMCSC]

July 19, 2019  16:30-17:30

四川大学东三教学楼 247

[lecture]0718Chongchun Zeng-01.jpg

SPEAKER

曾崇纯 (Georgia Institute of Technology)

ABSTRACT

We consider the capillary-gravity 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 bifurcation approach. Unlike those perturbed 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.

ORGANIZERS

洪绍方（四川大学）

寇     辉（四川大学）

连     增（四川大学）

SUPPORTED BY

国家天元数学西南中心

四川大学数学学院