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) |
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Article number | 20130361 |
Journal | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences |
Volume | 372 |
Issue number | 2029 |
DOIs | |
State | Published - Nov 28 2014 |
Keywords
- Ericksen-Leslie equation
- Hydrodynamic flow
- Nematic liquid crystal
ASJC Scopus subject areas
- General Mathematics
- General Engineering
- General Physics and Astronomy