Accession Number:

ADA488495

Title:

Asymptotic Study on the Extendability of Equilibria of Nematic Polymers

Descriptive Note:

Journal article

Corporate Author:

NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s):

Report Date:

2007-01-01

Pagination or Media Count:

16.0

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.

Subject Categories:

  • Physical Chemistry
  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE