Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898370 | Physica D: Nonlinear Phenomena | 2015 | 7 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Junichi Aramaki,