期刊
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
卷 202, 期 2, 页码 493-535出版社
SPRINGER
DOI: 10.1007/s00205-011-0421-3
关键词
-
资金
- EPSRC [EP/E010288/1, EP/E035027/1]
- EPSRC [EP/E010288/1, EP/E035027/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/E035027/1, EP/E010288/1] Funding Source: researchfish
Uniaxial nematic liquid crystals are modelled in the Oseen-Frank theory through a unit vector field n. This theory has the apparent drawback that it does not respect the head-to-tail symmetry in which n should be equivalent to -n. This symmetry is preserved in the constrained Landau-de Gennes theory that works with the tensor Q = s (n circle times n - 1/3 Id). We study the differences and the overlaps between the two theories. These depend on the regularity class used as well as on the topology of the underlying domain. We show that for simply-connected domains and in the natural energy class W-1,W-2 the two theories coincide, but otherwise there can be differences between the two theories, which we identify. In the case of planar domains with holes and various boundary conditions, for the simplest form of the energy functional, we completely characterise the instances in which the predictions of the constrained Landau-de Gennes theory differ from those of the Oseen-Frank theory.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据