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January 17, 2018 | 2:45 p.m. - 4:00 p.m.
Category: Lecture
Location: Education, College of #169 | Map
5425 Gullen Mall
Detroit, MI 48202
Cost: Free

Speaker:  Tao Huang, NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai

Title: Singularities and nonuniqueness of nematic liquid crystal flows

Abstract: The Ericksen-Leslie model is a classic theory on modeling and analysis of the hydrodynamic flow of liquid crystals. It describes the macroscopic evolution of the material under influence of both flow field, and macroscopic description of microscopic orientation configurations of rod-like liquid crystals.

    Singularities, or in another word defects, are the most concerning issues in liquid crystal theory. In this talk, we will discuss two examples of finite time singularity for the simplified Ericksen-Leslie system in dimension three. The first example is constructed for initial data with small energy but large topology, while the second one is constructed within the class of axisymmetric solutions. As a corollary of second example, we will also construct infinitely many weak solutions to the system.

For more information about this event, please contact Department of Mathematics at 3135772479 or math@wayne.edu.