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PDEs & Applications Seminar

Friday, January 31, 2025

Time: 10:30 a.m.  Place: Jeffery Hall, Room 319

Speaker: Hengrong Du (University of California, Irvine)

Title: Hydrodynamics of Nematic Liquid Crystals and Nematic Electrolytes

Abstract: In this talk, we will discuss recent developments in the analysis of hydrodynamic models for nematic liquid crystals and nematic electrolytes. We will focus on the Ericksen–Leslie (EL) system, a strongly coupled PDE model combining the incompressible Navier–Stokes equations for fluid flow with gradient-flow-like equations for the nematic order parameter field. A key result includes a concentrated-compactness framework for the simplified EL system in 2D, with applications to stochastic models. Additionally, we will explore new insights into the nematic electrolytes model, highlighting analytical techniques and challenges in studying the coupling between fluid motion, nematic alignment, and electrostatic effects.

Zoom Link:

Meeting ID: 978 9733 0214

Passcode: upon request