APDE seminar @BCAM: Analysis of liquid crystal flows

Abstract

In this talk we discuss two models describing the dynamics of nematic liquid crystals, the Q-tensor model and the Ericksen-Leslie model.

We establish local and small data global well-possessed results for these mixed order systems subject to general stress tensors and anisotropic elasticity.

This is joint work with A. Hussein, M. Wrona as well as with J. Li and M. Wilke.