Title    name Hot Topics International Workshop on The Mathematics of Materials Science : Liquid Crystals and Related Topics     Title The Liquid Crystal flow for the Oseen-Frank model.   Speaker Hong, Minchun   Date 2012-12-22   Host   Place NIMS   File     Abstract : In this talk, we discuss global existence of solutions of the liquid crystal (gradient) fl ow for the well-known Oseen-Frank model. The liquid crystal flow is a prototype of equations from the Ericksen-Leslie system in the hydrodynamic theory and generalizes the heat flow for harmonic maps into the 2-sphere. The Ericksen-Leslie system is a system of the NavierStokes equations coupled with the liquid crystal flow. We also prove global existence of solutions of the Ericksen-Leslie system for a general Oseen-Frank model in 2D. This is my joint work with Z. Xin.

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