DEFECTS IN LIQUID CRYSTAL FLOWS

Zaihui Gan, Xianpeng Hu, Fanghua Lin

Research output: Contribution to journalArticlepeer-review

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).

Original languageEnglish (US)
Pages (from-to)1695-1717
Number of pages23
JournalSIAM Journal on Mathematical Analysis
Volume54
Issue number2
DOIs
StatePublished - 2022

Keywords

  • Averaged velocity
  • Dynamical properties
  • Ginzburg-Landau vortices

ASJC Scopus subject areas

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

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