Liquid crystal flows in two dimensions

Fang-Hua Lin, Junyu Lin, Changyou Wang

Research output: Contribution to journalArticle

Abstract

This paper is concerned with a simplified hydrodynamic equation, proposed by Ericksen and Leslie, modeling the flow of nematic liquid crystals. In dimension two, we establish both interior and boundary regularity theorems for such a flow under smallness conditions. As a consequence, we establish the existence of global (in time) weak solutions on a bounded smooth domain in ℝ which are smooth everywhere with possible exceptions of finitely many singular times.

Original languageEnglish (US)
Pages (from-to)297-336
Number of pages40
JournalArchive for Rational Mechanics and Analysis
Volume197
Issue number1
DOIs
StatePublished - 2010

Fingerprint

Nematic liquid crystals
Liquid Crystal
Liquid crystals
Two Dimensions
Hydrodynamics
Boundary Regularity
Hydrodynamic Equations
Nematic Liquid Crystal
Exception
Weak Solution
Interior
Theorem
Modeling

ASJC Scopus subject areas

  • Analysis
  • Mechanical Engineering
  • Mathematics (miscellaneous)

Cite this

Liquid crystal flows in two dimensions. / Lin, Fang-Hua; Lin, Junyu; Wang, Changyou.

In: Archive for Rational Mechanics and Analysis, Vol. 197, No. 1, 2010, p. 297-336.

Research output: Contribution to journalArticle

Lin, Fang-Hua ; Lin, Junyu ; Wang, Changyou. / Liquid crystal flows in two dimensions. In: Archive for Rational Mechanics and Analysis. 2010 ; Vol. 197, No. 1. pp. 297-336.
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