Existence of solutions for the Ericksen-Leslie system

Fang Hua Lin, Chun Liu

Research output: Contribution to journalArticle

176 Scopus citations

Abstract

We study the general Ericksen-Leslie system, which describes the flow of liquid crystal materials. The dissipation property of the system is established and is used to prove the global existence of weak solutions. We also study the existence of classical solutions and the asymptotic stability of the solutions.

Original languageEnglish (US)
Pages (from-to)135-156
Number of pages22
JournalArchive for Rational Mechanics and Analysis
Volume154
Issue number2
DOIs
StatePublished - Sep 15 2000

All Science Journal Classification (ASJC) codes

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering

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