Mathematical problems of liquid crystal flows

✍ Scribed by M. Carme Calderer

• Publisher: John Wiley and Sons
• Year: 1994
• Tongue: English
• Weight: 858 KB
• Volume: 17
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.1670170303

✦ Synopsis

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.