DEFECTS IN LIQUID CRYSTAL FLOWS

Authors：Gan, Zaihui^*; Hu, Xianpeng; Lin, Fanghua

Source：SIAM Journal on Mathematical Analysis, 2022, 54(2): 1695-1717.

DOI：10.1137/21M1396010

• Ginzburg-Landau vortices
• dynamical properties
• averaged velocity

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/dta(j)(t) = u(aj(t),t).

• Institution
  天津大学