On the Isotropic-Nematic Phase Transition for the Liquid Crystal

发布时间：2019-04-24 作者：浏览次数：

Speaker:	费明稳	DateTime:	2019年4月29日（周一）上午9:30-10:20
Brief Introduction to Speaker: 费明稳，安徽师范大学教授。		Place:	六号楼二楼报告厅
Abstract:In this talk, we study the isotropic-nematic phase transition for the nematic liquid crystal based on the Landau-de Gennes Q-tensor theory. We justify the limit from the Landau-de Gennes flow to a sharp interface model: in the isotropic region, Q=0; in the nematic region, the Q-tensor is constrained on the manifolds N, and the evolution of alignment vector field obeys the harmonic map heat flow; while the interface separating the isotropic and nematic regions evolves by the mean curvature flow. This problem can be viewed as a concrete but representative case of the Rubinstein-Sternberg-Keller problem. This is a joint work with Professor Wei Wang in ZJU, Professor Pingwen Zhang and Professor Zhifei Zhang in PKU.