Special Session 117: 

Propagation curves of a curvature flow in a cylinder

Bendong Lou
Shanghai Normal University
Peoples Rep of China
Co-Author(s):    Lixia Yuan
Abstract:
I will talk about the propagation curves of a (mean) curvature flow in a cylinder. In case there is no stationary curves in the cylinder, we show the existence of entire solutions propagating from $-\infty$ to $\infty$, connecting one (periodic) traveling wave with another; in case there are stationary solutions, we show the existence of entire solutions growing out of or tending to one stationary solution.