On liquid crystal flows with free-slip boundary conditions

Chun Liu, Jie Shen

Research output: Contribution to journalArticlepeer-review

36 Scopus citations


In this paper, we study a coupled dynamic system describing nematic liquid crystal flows. The system was motivated by the Ericksen-Leslie equations modeling the flow of nematic liquid crystals. The purpose of studying the simplified system is to understand the flow properties of more complicated materials, the material configurations , as well as the interactions between them. Unlike in the previous studies where the Dirichlet boundary conditions are prescribed, we consider here the free-slip boundary conditions which possess a number of distinct advantages. The results in this paper form the analytical background for the forthcoming numerical simulations of the system.

Original languageEnglish (US)
Pages (from-to)307-318
Number of pages12
JournalDiscrete and Continuous Dynamical Systems
Issue number2
StatePublished - 2001

All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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