Zu Chongzhi Research Seminar

Date and Time (China standard time): Friday, October 24, 10:00 am – 11:00 am

Location: WDR 1005

Zoom: 995 6114 7443, Passcode: dkumath

Title: Two-dimensional Poiseuille flow of hyperbolic Ericksen-Leslie system

Speaker: Qingtian Zhang, Shenzhen University

Abstract: A liquid crystal is a state of matter that exhibits properties between those of conventional liquids and solid crystals. Molecules in a liquid crystal can flow like a liquid but maintain an ordered structure like a crystal. Ericksen-Leslie theory is a successful model describing the dynamics of nematic liquid crystal. The classical Ericksen-Leslie theory usually ignores the inertial effect, which is a reasonable assumption in the static or quasi-static theory. In this case, the PDE system is usually parabolic. In the more advanced situations, for example high-performance monitor, when the electric field is changing very fast, the inertial effect will be explicit and cannot be ignored. So, it is meaningful to study the inertial Ericksen-Leslie system. Because of the inertial term, the equation will present some hyperbolic feature, which introduces new difficulties in mathematical study. This talk will briefly review some mathematical researches on the liquid crystal and introduce some new results on the Poiseuille flow of hyperbolic Ericksen-Leslie system.

Bio: Dr. Qingtian Zhang graduated from Pennsylvania State University in 2016 with the PhD degree in Applied Math. After that he worked in University of California Davis as a Postdoc and West Virginia University as an assistant professor. He joined Shenzhen University in 2024 as an associate professor. His research interests are mainly on analysis of PDE’s, including hyperbolic conservation laws, dispersive equations and fluid mechanics.