TY - JOUR
T1 - Motion of Singularities in the Heat Flow of Harmonic Maps into a Sphere
AU - Chunmei Luo, Hui Zhang & Zhengru Zhang
JO - East Asian Journal on Applied Mathematics
VL - 3
SP - 580
EP - 600
PY - 2019
DA - 2019/06
SN - 9
DO - http://doi.org/10.4208/eajam.061018.240119
UR - https://global-sci.org/intro/article_detail/eajam/13168.html
KW - Heat flow of harmonic maps, singularity, boundary effect, interaction.
AB - <p style="text-align: justify;">Numerical experiments are used to determine the motion of singularities in
the heat flow of harmonic maps into a unit sphere. These singularities are closely related to point defects in a nematic liquid crystals. The motion of singularities is affected
by initial positions and interaction between singularities and boundary conditions. In
particular, it is shown that the motion of singularities is the same as the motion of point
defects in nematic liquid crystals under Neumann boundary conditions. For Dirichlet
boundary conditions, the results do not properly reflect the crystal defect motion due to
the shortcoming of the model.</p>