Partial Differential Equations and Analysis Seminar

In this seminar, we will discuss the topological and Non-topological solutions of Chern-Simons equations which is developed to explain the second type of superconductivity phenomenon. We will introduce some known results and properties of the topological and non-topological solutions.  At last, we are going to talk about the uniqueness of the topological solutions with collapsing vortices and the existence of non-topological solutions of a skew symmetric Chern-Simons system. This is a joint work with Prof. Chang-Shou Lin.