BIRS Workshop Lecture Videos
A variational Problem for the Isotropic-Nematic Phase Transition Park, Jinhae
In this talk, we consider Landau-de Gennes theory for liquid crystals and investigate the structure and stability of the isotropic-nematic interface in 1-D. In the absence of the anisotropic energy, we show that the uniaxial solution is the only global minimizer. In the presence of the anisotropic energy, the uniaxial solution may lose stability. We will talk about the role of the anisotropic energy term in the stability of the uniaxial solution. If time permits, we also plan to present some interesting open questions, which are related to De Giorgi conjecture. This is a joint work with Wei Wang, Pingwen Zhang and Zhifei Zhang.
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