@Article{JPDE-25-276,
author = {Aramaki , Junichi},
title = {The Freedericksz Transition and the Asymptotic Behavior in Nematic Liquid Crystals},
journal = {Journal of Partial Differential Equations},
year = {2012},
volume = {25},
number = {3},
pages = {276--294},
abstract = {<p>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.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v25.n3.5},
url = {http://global-sci.org/intro/article_detail/jpde/5187.html}
}