Mathematical problems of liquid crystal flows

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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 languageEnglish (US)
Pages (from-to)171-188
Number of pages18
JournalMathematical Methods in the Applied Sciences
Issue number3
StatePublished - Mar 1994


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