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 | |
| 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)