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Applied and computational Analysis Seminars

Variational Convergence of Liquid Crystal Energies to Line and Surface Energies

With Antonin Chambolle (Paris-Dauphine)

Variational Convergence of Liquid Crystal Energies to Line and Surface Energies

We study a model of an inclusion inside a liquid crystal, modelled by a Landau-De Gennes energy, in a regime where the line singularities (hedgehog) of the director field and the surface singularities (flip of direction) have energies of the same order. In the limit, we find an energy of a minimal 2D flat chain with minimal 1D boundary, attached to the inclusion. We will rapidly mention possible directions for numerical experiments. This is a joint work with Dominik Stantejsky (now at McMaster) and François Alouges (now at ENS Saclay).

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