BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Existence of Surface Smectic States of Liquid Crystals Kachmar, Ayman


I will present a recent result on the Landau-de Gennes model of liquid crystals, obtained jointly with S. Fournais and X.B. Pan. The model we studied is a functional acting on wave functions (order parameters) and vector fields (director fields) defined in a three dimensional domain. In a specific asymptotic limit of the physical parameters, we constructed critical points such that the wave function is localized near the boundary of the domain, and we computed the energy of such critical points. In physical terms, these critical points correspond to surface smectic states.

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