Asymptotic study on the extendability of equilibria of nematic polymers

Thumbnail Image
Files
zhouIJCMS21-24-2007.pdf (112.7 KB)
Authors
Zhou, Hong
Wang, Hongyun
Subjects
Nematic liquid crystal polymers
Smoluchowski equation
equilibria
Advisors
Date of Issue
2007
Date
Publisher
Language
Abstract
This paper addresses the extendability of equilibrium solutions of pure nematic liquid crystal polymers. More precisely, we apply the asymptotic analysis to show that the Jacobian of the nonlinear system is nonzero for both the prolate branch and the oblate branch when the nematic strength is large enough. This result implies the existence and uniqueness of the equilibrium solutions in the presence of small perturbations.
Type
Article
Description
The article of record as published may be located at http://www.m-hikari.com/ijcms-password2007/21-24-2007/zhouIJCMS21-24-2007.pdf
URI
https://hdl.handle.net/10945/25572
Series/Report No
Department
Applied Mathematics
Organization
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
International Journal of Contemporary Mathematical Sciences / Volume 2, Issue 21, 1009-1023
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
Collections
Publications