Colloquium-Chongchun Zheng (Georgia Tech)-Traveling water waves with compactly supported vorticity

Mathematics - Colloquium

Thursday, March 20, 2014
11:00 AM-12:00 PM

Stratton Hall

ABSTRACT: We consider the water wave problem -- the free boundary problem of the Euler equation -- and construct small traveling wave solutions with vorticity based on a bifurcation method. Unlike those perturbed from shear flows, the vorticity of these solutions are supported in a small domain away from the water surface. We also discuss the global bifurcation of such waves when the vorticity is a delta mess. This is a joint work with Jalal Shatah and Sam Walsh.

Suggested Audiences: Adult, College


Last Modified: March 12, 2014 at 4:36 PM