TY - JOUR
T1 - DEFECTS IN LIQUID CRYSTAL FLOWS
AU - GAN, Zaihui
AU - HU, Xianpeng
AU - LIN, Fanghua
PY - 2022
Y1 - 2022
N2 - This paper concerns the dynamical properties of topological defects in two dimensional flows of liquid crystals modeled by the Ginzburg-Landau approximations. The fluid is transported by a nonlocal (an averaged) velocity and is coupled with effects of the elastic stress. The defects move along the trajectories of the flow associated with this averaged velocity, that is, d/dt aj (t) = u(aj(t), t).
AB - This paper concerns the dynamical properties of topological defects in two dimensional flows of liquid crystals modeled by the Ginzburg-Landau approximations. The fluid is transported by a nonlocal (an averaged) velocity and is coupled with effects of the elastic stress. The defects move along the trajectories of the flow associated with this averaged velocity, that is, d/dt aj (t) = u(aj(t), t).
KW - Averaged velocity
KW - Dynamical properties
KW - Ginzburg-Landau vortices
UR - http://www.scopus.com/inward/record.url?scp=85128945846&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85128945846&origin=recordpage
U2 - 10.1137/21M1396010
DO - 10.1137/21M1396010
M3 - RGC 21 - Publication in refereed journal
VL - 54
SP - 1695
EP - 1717
JO - SIAM Journal on Mathematical Analysis
JF - SIAM Journal on Mathematical Analysis
SN - 0036-1410
IS - 2
ER -