Year: 2012
Author: Junichi Aramaki
Journal of Partial Differential Equations, Vol. 25 (2012), Iss. 3 : pp. 276–294
Abstract
We consider the stability of a specific nematic liquid crystal configuration under an applied magnetic field. We show that for some specific configuration there exist two critical values H_n and H_{sh} of applied magnetic field. When the intensity of the magnetic field is smaller than H_n, the configuration of the energy is only global minimizer, when the intensity is between H_n and H_{sh}, the configuration is not global minimizer, but is weakly stable, and when the intensity is larger than H_{sh}, the configuration is instable. Moreover, we also examine the asymptotic behavior of the global minimizer as the intensity tends to the infinity.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v25.n3.5
Journal of Partial Differential Equations, Vol. 25 (2012), Iss. 3 : pp. 276–294
Published online: 2012-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Freedricksz transition
Author Details
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Stability and asymptotics in nematic liquid crystals under a small Dirichlet data and a non-constant magnetic field
Aramaki, Junichi
Physica D: Nonlinear Phenomena, Vol. 290 (2015), Iss. P.1
https://doi.org/10.1016/j.physd.2014.09.005 [Citations: 0]