Asymptotic Study on the Extendability of Equilibria of Nematic Polymers

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.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2007
Accession Number
ADA488495

Entities

People

  • Hong Zhou
  • Hongyun Wang

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Boltzmann Equation
  • Coordinate Systems
  • Crystals
  • Equations
  • Liquid Crystal Polymers
  • Liquid Crystals
  • Mathematical Analysis
  • Mathematical Models
  • Mathematics
  • Molecules
  • Nonlinear Systems
  • Perturbations
  • Polymers
  • Probability
  • Probability Density Functions

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Polymer Science and Technology