ΕΚΔΗΛΩΣΕΙΣ

ΣΕΜΙΝΑΡΙΟ ΕΦΑΡΜΟΣΜΕΝΗΣ ΑΝΑΛΥΣΗΣ & ΜΔΕ: A FREE BOUNDARY PROBLEM ON 2D LIQUID CRYSTAL DROPLETS

Παρασκευή 11 Ιουνίου 2021 ΜΕΣΩ GOOGLE MEET
Σεμινάριο Εφαρμοσμένης Ανάλυσης & ΜΔΕ: A free boundary problem on 2D liquid crystal droplets

Τίτλος: A free boundary problem on 2D liquid crystal droplets

Ομιλητής: Zhiyuan Geng (Basque Center for Applied Mathematics, Spain)

Ημερομηνία: Παρασκευή 11/6/2021 Ώρα: 15:15 

Σύνδεσμος:meet.google.com/sru-gxoc-gzw

Περίληψη: Liquid crystal droplets are of great interest from physics and applications. They are important in the studies of topological defects, both in a bulk and on a surface, in understanding of anisotropic surface energies and anchoring conditions of liquid crystals. In this lecture I will talk about a two-dimensional free boundary problem motivated by a
liquid crystal droplet model. The problem occurs when droplets of nematic liquid crystals are dispersed in an isotropic polymeric medium. 
Determining the shape of the droplet and the equilibrium configuration of the liquid crystals leads to a shape optimization problem that minimizes both the elastic energy inside the droplet and the interfacial energy on the surface. I will present the existence result and describe several geometric properties of the free boundary. The relationship with the Weil-Petersson curve will also be discussed.
This is a joint work with Fanghua Lin.

Το Σεμινάριο Εφαρμοσμένης Ανάλυσης & Μερικών Διαφορικών Εξισώσεων http://users.uoa.gr/~nalikako/seminar/ γίνεται διαδικτυακά, μέσω google meet.