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| 摘要: |
| 本文研究了三维稳态Q-tensor液晶系统在Lorentz和Morrey空间中的Liouville定理.在Lorentz和Morrey空间的一些附加假设下,利用能量估计,获得了平凡解u=Q ≡ 0是唯一解.我们的定理是对最近一些结果的改进,并包含一些已知的结果作为特例. |
| 关键词: Lorentz空间|Morrey空间|Q-tensor|液晶|Liouville定理 |
| DOI： |
| 分类号:O175.4 |
| 基金项目:Supported by National Natural Science Foundation of China(11871305, 11901346). |
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| LIOUVILLE THEOREM FOR 3D STATIONARY Q-TENSOR SYSTEM OF LIQUID CRYSTAL |
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HU Li-li,ZHOU Yan-ping,BIE Qun-yi
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| 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. |
| Key words: Lorentz spaces|Morrey spaces|Q-tensor|liquid crystal|Liouville theorem |
