Recent developments of analysis for hydrodynamic flow of nematic liquid crystals

Abstract

The study of hydrodynamics of liquid crystal leads to many fasci- nating mathematical problems, which has prompted various interesting works recently. This article reviews the static Oseen-Frank theory and surveys some recent progress on the existence, regularity, uniqueness, and large time asymp- totic of the hydrodynamic flow of nematic liquid crystals. We will also propose a few interesting questions for future investigations.

arXiv commentPhil. Trans. R. Soc., A, to appear

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