@article{05469258dd934cd7a0ed18d976a28d52,
title = "DEFECTS IN LIQUID CRYSTAL FLOWS",
abstract = "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, dtd aj(t) = u(aj(t), t).",
keywords = "Averaged velocity, Dynamical properties, Ginzburg-Landau vortices",
author = "Zaihui Gan and Xianpeng Hu and Fanghua Lin",
note = "Funding Information: \ast Received by the editors February 1, 2021; accepted for publication (in revised form) November 22, 2021; published electronically March 14, 2022. https://doi.org/10.1137/21M1396010 Funding: The work of the first author was partially supported by the National Natural Science Foundation of China grant 11571254. The work of the second author was partially supported by the Research Grants Council projects CityU 11300417, 11301919, 11300420. The work of the third author was partially supported by the NSF grant DMS-1955249. \dagger Center for Applied Mathematics, Tianjin University, Tianjin 300072, China (ganzaihui2008cn@ tju.edu.cn). \ddagger Department of Mathematics, City University of Hong Kong, Hong Kong, People's Republic of China (xianpehu@cityu.edu.hk). \S Courant Institute of Mathematical Sciences, New York University, New York, NY 10012 USA (linf@cims.nyu.edu). Publisher Copyright: {\textcopyright} 2022 Society for Industrial and Applied Mathematics",
year = "2022",
doi = "10.1137/21M1396010",
language = "English (US)",
volume = "54",
pages = "1695--1717",
journal = "SIAM Journal on Mathematical Analysis",
issn = "0036-1410",
publisher = "Society for Industrial and Applied Mathematics Publications",
number = "2",
}