Picture of smart phone in human hand

World leading smartphone and mobile technology research at Strathclyde...

The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including by Strathclyde researchers from the Department of Computer & Information Sciences involved in researching exciting new applications for mobile and smartphone technology. But the transformative application of mobile technologies is also the focus of research within disciplines as diverse as Electronic & Electrical Engineering, Marketing, Human Resource Management and Biomedical Enginering, among others.

Explore Strathclyde's Open Access research on smartphone technology now...

Stability of non-constant equilibrium states in a finite sample of ferroelectric liquid crystals

Anderson, D.A. and Stewart, Iain W. (2001) Stability of non-constant equilibrium states in a finite sample of ferroelectric liquid crystals. International Journal of Engineering Science, 39 (11). pp. 1191-1215. ISSN 0020-7225

Full text not available in this repository. (Request a copy from the Strathclyde author)

Abstract

The non-constant equilibrium solutions to a dynamic equation governing the director reorientation within a finite sample of ferroelectric liquid crystal are obtained in terms of Jacobian elliptic integrals of the first kind. The stability results for these solutions, for various values of the measurable parameters of the problem, depend upon proving the positivity of the eigenvalues of a regular Sturm-Liouville problem which arises from applying a perturbation analysis to such equilibrium solutions in a quite general setting. A Hardy-type integral inequality is further employed to prove the positivity of eigenvalues in a more restricted class of perturbations which allows improved results on the ranges of parameters for which stability holds.