Nonlinear Partial Differential Equations

Date: February 27, 2024

Time: 4:00PM - 5:00PM

Location: BLOC 302

Speaker: Matthias Hieber, Technische Universität Darmstadt

Title: Analysis of Nematic Liquid Crystal Flows: The Ericksen-Leslie and the Q-Tensor Model

Abstract: In this talk we consider two models describing the flow of nematic liquid crystals: the Ericksen-Leslie model and the Q-tensor model. We discuss local as well as global well-posedness results for strong solutions in the incompressible and compressible setting and investigate as well equlibrium sets and the longtime behaviour of solutions. This is joint work with A. Hussein, J. Pruss and M. Wrona.