title: Recent developments of analysis for hydrodynamic flow of nematic liquid crystals.
abstract: The study of hydrodynamics of liquid crystals leads to many fascinating 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 asymptotic of the hydrodynamic flow of nematic liquid crystals. We will also propose a few interesting questions for future investigations.
authors.affiliation: Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USA NYU-ECNU Institute of Mathematical Sciences, at NYU Shanghai, 3663 North Zhongshan Road, Shanghai 200062, People's Republic of China.
authors.forename: Fanghua
authors.initials: F
authors.lastname: Lin
authors.affiliation: Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907, USA wang2482@purdue.edu.
authors.forename: Changyou
authors.initials: C
authors.lastname: Wang
keywords: Ericksen–Leslie equation; hydrodynamic flow; nematic liquid crystal