Joint-Seminar: Multi-dimensional traveling fronts in time periodic reaction-diffusion equations (Zicheng Wang, Mar.28)

Joint-Seminar

Title:  Multi-dimensional traveling fronts in time periodic reaction-diffusion equations

Speaker:  Zicheng Wang, School of Mathematics and Statistics, Lanzhou University

Location:  520 Pao Yue-Kong Library

Time: 16:00-17:00, Friday, March 28, 2014

Abstract:
This talk is concerned with the multi-dimensional  traveling fronts in time periodic reaction-diffusion equations. First, we show the existence, uniqueness and stability of V-form traveling fronts in two-dimensional space. Then we establish the existence, uniqueness and stability of three-dimensional traveling fronts with pyramidal shape. We characterize the pyramidal traveling fronts as a combination of planar traveling fronts on the lateral surfaces or as a combination of two-dimensional V-form waves on the edges of the pyramid. Finally, we establish the existence of cylindrically symmetric traveling fronts n three-dimensional space. In particular, we study the qualitative property of the level set of the cylindrically symmetric traveling fronts.