@Article{CiCP-2-1184,
author = {C. Liu, J. Shen and X. Yang},
title = {Dynamics of Defect Motion in Nematic Liquid Crystal Flow: Modeling and Numerical Simulation},
journal = {Communications in Computational Physics},
year = {2007},
volume = {2},
number = {6},
pages = {1184--1198},
abstract = {<p style="text-align: justify;">The annihilation of a hedgehog-antihedgehog pair in hydrodynamics of (elastically isotropic) nematic liquid crystal materials is modeled using the Erickson-Leslie
theory which results in a nonlinear system for the flow velocity field and liquid crystal
director field coupled through the transport of the directional order parameter and the
induced elastic stress. An efficient and accurate numerical scheme is presented and implemented for this coupled nonlinear system in an axi-symmetric domain. Numerical
simulations of annihilation of a hedgehog-antihedgehog pair with different types of
transport are presented. In particular, it is shown that the stretching parameter in the
transport equation contributes to the symmetry breaking of the pair&#39;s moving speed
during the dynamics of annihilation.</p>},
issn = {1991-7120},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/cicp/7945.html}
}