TY - JOUR
T1 - Axisymmetric configurations of bipolar liquid crystal droplets
AU - Shen, Quan
AU - Liu, Chun
AU - Carme Calderer, M.
PY - 2002/8/1
Y1 - 2002/8/1
N2 - In this paper we discuss bipolar configurations of a nematic liquid crystal droplet. We are interested in, both, fixed spherical domain and free boundary problems. We show the stability of the fixed spherical shape, and the existence of the free boundary configuration in the axisymmetric case. For the latter, we introduce a relaxed energy that is shown to be polyconvex with respect to the fields.
AB - In this paper we discuss bipolar configurations of a nematic liquid crystal droplet. We are interested in, both, fixed spherical domain and free boundary problems. We show the stability of the fixed spherical shape, and the existence of the free boundary configuration in the axisymmetric case. For the latter, we introduce a relaxed energy that is shown to be polyconvex with respect to the fields.
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U2 - 10.1007/s001610100074
DO - 10.1007/s001610100074
M3 - Article
AN - SCOPUS:0035994943
SN - 0935-1175
VL - 14
SP - 363
EP - 375
JO - Continuum Mechanics and Thermodynamics
JF - Continuum Mechanics and Thermodynamics
IS - 4
ER -