[00930] Analysis and numerical approximation of energy-variational solutions to the Ericksen--Leslie equations
Session Time & Room : 5B (Aug.25, 10:40-12:20) @E703
Type : Contributed Talk
Abstract : The Ericksen--Leslie equations are used to model liquid crystals in their nematic phase. We define the concept of energy-variational solutions for the Ericksen--Leslie equations in three spatial dimensions. This solution concept satisfies the weak-strong uniqueness property. We construct an energy-variational solution with the help of an implementable, structure-inheriting space-time discretization. Computational studies are performed in order to provide some evidence of the applicability of the proposed algorithm.
