Picture of two heads

Open Access research that challenges the mind...

The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including those from the School of Psychological Sciences & Health - but also papers by researchers based within the Faculties of Science, Engineering, Humanities & Social Sciences, and from the Strathclyde Business School.

Discover more...

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.