Partial Differential Equations and Applied Mathematics Seminar
Date/Time: April 26nd,Wed., 4:00 ~ 5:00 PM
Location: cmac seminar room
Speaker: Youngae Lee
Title: Existence of non-topological solutions in the SU(3) Chern-Simons model, part I
We consider non-topological solutions of a nonlinear elliptic system problem derived from the SU(3) Chern-Simons models. The existence of non-topological solutions even for radial symmetric case has been a long standing open problem. Recently, Choe, Kim, and Lin showed the existence of radial symmetric non-topological solution when the vortex points collapse. However, the arguments in that paper cannot work for an arbitrary configuration of vortex points.
In this talk, I introduce a new approach by using different scalings for different components of the system to construct a family of partial blowing up non-topological solutions. This talk is based on the joint work with Prof. Chang-Shou Lin and Prof. Ting-Jung Kuo.