Existence of minimal energy configurations of nematic liquid crystals with variable degree of orientation
Existence of minimal energy configurations of nematic liquid crystals with variable degree of orientation
复制标题
具有不同取向度的向列液晶的最小能量构型的存在
DOI：
10.1007/bf02568761
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发表时间：
1990
影响因子：
0.6
通讯作者：
L. Ambrosio
中科院分区：
文献类型：
--
作者：
L. Ambrosio
我们证明了泛函极小元的存在性
$$\int\Limits_\Omega{\Left({\kappa\Left|{\nabla S}\Right|^2+S^2\Left|{\nabla u}\Right|^2+\Psi(S)}\Right)}{\mathbf{}}DX$$
最近由Ericksen[8]建议用于向列相液晶的静力学。给出了极小化的一组必要条件和单调性公式。
SummaryWe prove existence of minimizers of the functional
$$\int\limits_\Omega {\left( {\kappa \left| {\nabla s} \right|^2 + s^2 \left| {\nabla u} \right|^2 + \Psi (s)} \right)} {\mathbf{ }}dx$$
recently suggested by Ericksen [8] for the statics of nematic liquid crystals. A set of necessary conditions for the minimizers and a monotonicity formula are also found.