instituto de matemáticas universidad de sevilla
Antonio de Castro Brzezicki
The Ericksen-Leslie Model for Nematic Liquid Crystals: Existence and Uniqueness of Solutions
Seminario PHD
A penalized version of the Ericksen-Leslie model for the flow of nematic liquid crystals is considered. The existence of solutions is studied by the Faedo-Galerkin method. Since one of the objectives of this work was the numerical approximation of the model, the domains used are polyhedra (dimension 3) or polygons (dimension 2) with locally Lipschitz boundary. And a uniqueness result is proved for some non-smooth domains of dimension 2.