On liquid crystal flows with free-slip boundary conditions | Zendy

Chun Liu | Zendy; Jie Shen | Zendy

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On liquid crystal flows with free-slip boundary conditions

Author(s) -

Chun Liu,

Jie Shen

Publication year - 2001

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2001.7.307

Subject(s) - liquid crystal , boundary value problem , flow (mathematics) , slip (aerodynamics) , mechanics , physics , boundary (topology) , classical mechanics , thermodynamics , mathematics , mathematical analysis , condensed matter physics

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 mate- rial 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.

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