Abstract
This article deals with flow phenomena in liquid crystal materials. The model that I analyse is that due to Ericksen for liquid crystals with variable degree of orientation. One of the goals is understanding the role of the order parameter in the model. I examine the multiplicity of solutions, phases, that occur in shear flow regimes and analyse their stability under physically realistic conditions. In particular, I show that ellipticity of the linearized system of governing equations is a consequence of the Clausius–Duhem inequality.
Original language | English (US) |
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Pages (from-to) | 171-188 |
Number of pages | 18 |
Journal | Mathematical Methods in the Applied Sciences |
Volume | 17 |
Issue number | 3 |
DOIs | |
State | Published - Mar 1994 |