Article ID Journal Published Year Pages File Type
1898370 Physica D: Nonlinear Phenomena 2015 7 Pages PDF
Abstract
We consider the stability of a critical point and asymptotics of the minimizers of the free energy functional with a small Dirichlet boundary data under a non-constant exterior magnetic field in nematic liquid crystals. In the author's previous papers, we studied the stability of a critical point under the more general hypotheses but we had to assume the curl-free condition on the critical point for technical reason. However, in this paper, without the curl-free condition, we can get the similar result in the special case where the elastic coefficients are equal.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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