Recent developments of analysis for hydrodynamic flow of nematic liquid crystals

Fanghua Lin; Changyou Wang

doi:10.1098/rsta.2013.0361

Recent developments of analysis for hydrodynamic flow of nematic liquid crystals

Fanghua Lin, Changyou Wang

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Article number	20130361
Journal	Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	372
Issue number	2029
DOIs	https://doi.org/10.1098/rsta.2013.0361
State	Published - Nov 28 2014

Keywords

Ericksen-Leslie equation
Hydrodynamic flow
Nematic liquid crystal

ASJC Scopus subject areas

Mathematics(all)
Engineering(all)
Physics and Astronomy(all)

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