Speaker:Dr. Hiroko Yamamoto, Meiji University, Japan
Title:A Reaction-diffusion approximation to non-local interactions
Time:2016-11-24, 16:00-17:00
Venue:Room 316 of Environment Building, Renmin University
Abstract:Recently, patterns formed by reaction-diffusion equations with non-local interactions have attracted much attention. For instance, long-range and short-range interactions of non-local nature are observed in pigment cells of the skin of zebrafish. In this talk we consider an evolution equation with non-local term under Neumenn boundary condition. In order to understand pattern formation by non-local interactions, we introduce a reaction-diffusion approximation to the solution of this evolution equation.