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M. Fallahpour, S. McKee, E. Weinmüller:
"Numerical simulation of flow in smectic liquid crystals";
in: "ASC Report 16/2018", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2018, ISBN: 978-3-902627-11-7, 1 - 11.

Our aim is to simulate a nonlinear system of ODEs describing the flow in smectic liquid crystals. The nonlinear system is first linearized. We present a direct approach to compute the exact analytic solution of this linear system and use this solution as a starting profile in the Matlab package bvpsuite2.0 to obtain the ap-proximate solution to the nonlinear system. Although, the solution of the nonlinear system has steep boundary layers and therefore is difficult to resolve, we demon-strate that bvpsuite2.0 can cope with the problem and provide an approximation with reasonable accuracy.

http://www.asc.tuwien.ac.at/preprint/2018/asc16x2018.pdf