TY - JOUR
T1 - Liquid crystal flow
T2 - Dynamic and static configurations
AU - Calderer, M. Carme
AU - Liu, Chun
PY - 2000/5/1
Y1 - 2000/5/1
N2 - We consider a system modeling the flow of nematic liquid crystals with variable degrees of orientation. Although the set of constitutive equations involves many different parameters, the flow behavior is determined mostly by three nondimensional parameters, i.e., the Ericksen number, the Reynolds number, and the interface number. We establish a dissipative relation of the system in general domains. In the case of plane Poiseuille flow, we prove existence and regularity of solutions. Moreover, we discuss the stationary configurations with a large number of defects due to the large Ericksen number of the flow.
AB - We consider a system modeling the flow of nematic liquid crystals with variable degrees of orientation. Although the set of constitutive equations involves many different parameters, the flow behavior is determined mostly by three nondimensional parameters, i.e., the Ericksen number, the Reynolds number, and the interface number. We establish a dissipative relation of the system in general domains. In the case of plane Poiseuille flow, we prove existence and regularity of solutions. Moreover, we discuss the stationary configurations with a large number of defects due to the large Ericksen number of the flow.
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U2 - 10.1137/S0036139998336249
DO - 10.1137/S0036139998336249
M3 - Article
AN - SCOPUS:0034476004
SN - 0036-1399
VL - 60
SP - 1925
EP - 1949
JO - SIAM Journal on Applied Mathematics
JF - SIAM Journal on Applied Mathematics
IS - 6
ER -