Lectures

Seminar information archive ~02/26Next seminarFuture seminars 02/27~


2009/02/04

16:00-17:30   Room #002 (Graduate School of Math. Sci. Bldg.)
Bendong LOU (婁 本東) (同済大学)
Traveling waves of a curvature flow in almost periodic media
[ Abstract ]
In a plane media with almost periodic vertical striations, we study a curvature flow and construct two kinds of traveling waves, one having a straight line like profile and the other having a V shaped profile. For each of the first kind of traveling waves, its profile is the graph of a function whose derivative is almost periodic. For each of the second kind of traveling waves, its profile is like a pulsating cone, with tails asymptotically approach the first kind of traveling waves.
Also we consider a homogenization problem and provide an explicit formula for the homogenized traveling speed.
This is joint work with Xinfu Chen.