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三维稳态Q-tensor液晶流系统的Liouville定理

胡立立 周艳平 别群益

数学杂志2025,Vol.45Issue(4):283-292,10.
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

胡立立 1周艳平 2别群益2

作者信息

  • 1. 三峡大学数理学院,湖北宜昌 443000
  • 2. 三峡大学数理学院,湖北宜昌 443000||三峡大学三峡数学研究中心,湖北宜昌 443000
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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)

数学杂志

0255-7797

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