### Analysis of Disclination-Line Defects in Liquid Crytals

**Bauman, P ***(Purdue University)*

Monday 08 April 2013, 11:30-12:30

Satellite

#### Abstract

We describe mathematical results and techniques of analysis on the structure of defects in thin nematic liquid crystals described by minimizers of the Landau-de Gennes energy involving a tensor-valued order parameter with Dirichlet boundary conditions of nonzero degree. We prove that as the coefficient of the elasticity term tends to zero, a limiting uniaxial texture forms with a finite number of defects, all of degree 1/2 or -1/2. We also describe the location of defects and the limiting energy.

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