Recent developments of analysis for hydrodynamic flow of nematic liquid crystals

Fang-Hua Lin, Changyou Wang

Research output: Contribution to journalArticle

Abstract

The study of hydrodynamics of liquid crystals leads to many fascinating mathematical problems, which has prompted various interesting works recently. This article reviews the static Oseen-Frank theory and surveys some recent progress on the existence, regularity, uniqueness and large time asymptotic of the hydrodynamic flow of nematic liquid crystals. We will also propose a few interesting questions for future investigations.

Original languageEnglish (US)
Article number20130361
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume372
Issue number2029
DOIs
StatePublished - Nov 28 2014

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Nematic liquid crystals
Nematic Liquid Crystal
Hydrodynamics
liquid crystals
hydrodynamics
Large Time Asymptotics
uniqueness
regularity
Liquid Crystal
Liquid crystals
Uniqueness
Regularity
Review

Keywords

  • Ericksen-Leslie equation
  • Hydrodynamic flow
  • Nematic liquid crystal

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)
  • Engineering(all)

Cite this

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