On liquid crystal flows with free-slip boundary conditions
Chun Liu - Department of Mathematics and Center for Materials Physics, Penn State University, University Park, PA 16802, United States (email)
Abstract: 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.
Keywords: Navier-Stokes equations, nematic liquid crystals, free-slip boundary
Revised: October 2000; Available Online: January 2001.
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