Graduate Student Seminar

Title:  Patten formation - solutions of some nonlocal variational problems

Speaker: Chong Wang

Abstract: Skin pigmentation, animal coats and block copolymers, which can be considered as multi-constituent inhibitory systems, are all around us. An inhibitory system is studied as a nonlocal geometric variational problem. The free energy of the system is the sum of two terms: the total size of the interfaces separating the constituents, and a longer ranging interaction energy that inhibits micro-domains from unlimited growth. We will talk about the existence of a stationary core-shell assembly, and also a double bubble solution as a new phase of a ternary inhibitory system. If time allows, we can also discuss the local minimum solutions of the original problems before Gamma Convergence.