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June 2006 A Molecular Kinetic Theory of Inhomogeneous Liquid Crystal Flow and the Small Deborah Number Limit
Weinan E, Pingwen Zhang
Methods Appl. Anal. 13(2): 181-198 (June 2006).

Abstract

The Doi kinetic theory for homogeneous flows of rodlike liquid crystalline polymers (LCPs) is extended to inhomogeneous flows through introducing a nonlocal intermolecular potential. An extra term in the form of an elastic body force comes out as a result of this extension. Systematic asympototic analysis in the small Deborah number limit is carried out, and the classical Ericksen- Leslie equations are derived in this limit. The Leslie coefficients are derived in terms of molecular parameters, and the Ericksen stress emerges from the body force.

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Weinan E. Pingwen Zhang. "A Molecular Kinetic Theory of Inhomogeneous Liquid Crystal Flow and the Small Deborah Number Limit." Methods Appl. Anal. 13 (2) 181 - 198, June 2006.

Information

Published: June 2006
First available in Project Euclid: 18 January 2008

zbMATH: 1131.76010
MathSciNet: MR2381545

Subjects:
Primary: 35Q35, 65M12, 76B03

Rights: Copyright © 2006 International Press of Boston

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Vol.13 • No. 2 • June 2006
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