Special Session 5: Recent developments in Partial Differential Equations from Physics

Pattern formation in Landau-de Gennes theory
Yong Yu
The Chinese University of Hong Kong
Hong Kong
Co-Author(s):    Ho Man Tai
Abstract:
In this talk, I will introduce the spherical droplet problem in the Landau-de Gennes theory. With a novel bifurcation diagram, we find solutions with ring and split-core disclinations, respectively. This work theoretically confirms the numerical results of Gartland and Mkaddem in 2000.