TY - JOUR
T1 - Recent developments of analysis for hydrodynamic flow of nematic liquid crystals
AU - Lin, Fanghua
AU - Wang, Changyou
N1 - Publisher Copyright:
© 2014 The Author(s) Published by the Royal Society. All rights reserved.
PY - 2014/11/28
Y1 - 2014/11/28
N2 - 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.
AB - 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.
KW - Ericksen-Leslie equation
KW - Hydrodynamic flow
KW - Nematic liquid crystal
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U2 - 10.1098/rsta.2013.0361
DO - 10.1098/rsta.2013.0361
M3 - Article
AN - SCOPUS:84908530005
VL - 372
JO - Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
JF - Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
SN - 0962-8428
IS - 2029
M1 - 20130361
ER -