Abstract
A liquid crystal is generally understood to be a mesomorphic state of matter which flows like a liquid and which exhibits some anisotropic behavior. See [E], [EK], [C], [DG]. The liquid crystal phase usually lies between a solid phase and an isotropic liquid phase with phase transition being induced by temperature change. A static model typically involves a kinematic variable n(x), called the director, which is a unit vector defined for x in a spatial region Ω.
Research partially supported by the National Science Foundation.
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Hardt, R.M. (1990). Point and Line Singularities in Liquid Crystals. In: Berestycki, H., Coron, JM., Ekeland, I. (eds) Variational Methods. Progress in Nonlinear Differential Equations and Their Applications, vol 4. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-1080-9_8
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