数学杂志2025,Vol.45Issue(4):283-292,10.
三维稳态Q-tensor液晶流系统的Liouville定理
LIOUVILLE THEOREM FOR 3D STATIONARY Q-TENSOR SYSTEM OF LIQUID CRYSTAL
摘要
Abstract
In this paper,we study Liouville theorem for the 3D stationary Q-tensor system of liquid crystal in Lorentz and Morrey spaces.Under some additional hypotheses,stated in terms of Lorentz and Morrey spaces,using energy estimation,we obtain that the trivial solution u=Q=0 is the unique solution.Our theorems correspond to improvements of some recent results and contain some known results as particular cases.关键词
Lorentz空间/Morrey空间/Q-tensor/液晶/Liouville定理Key words
Lorentz spaces/Morrey spaces/Q-tensor/liquid crystal/Liouville theorem分类
数理科学引用本文复制引用
胡立立,周艳平,别群益..三维稳态Q-tensor液晶流系统的Liouville定理[J].数学杂志,2025,45(4):283-292,10.基金项目
Supported by National Natural Science Foundation of China(11871305,11901346). (11871305,11901346)