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| 摘要: |
| 本文研究了基于Q-张量框架的可压缩活性液晶模型的流体动力学问题.在全空间或者圆环上，我们证明了模型的大初值局部经典解的存在性.并且，在一定的系数假设下，我们给出了在常数态附近圆环上小初值全局经典解的存在性. |
| 关键词: 可压缩活性液晶模型 经典解 平衡态附近 全局时间 |
| DOI： |
| 分类号:O175.4 |
| 基金项目:Supported by National Natural Science Foundation of China(11971360). |
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| WELL-POSEDNESS FOR THE COMPRESSIBLE ACTIVE LIQUID CRYSTAL MODEL |
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JIANG Ning,KE Lin-lin,SONG Xiao-yu
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| Abstract: |
| We consider the hydrodynamics of compressible flow of active liquid crystals model in the Q-tensor framework. The existence of local-in-time classical solution with large initial data in the whole space or torus is established. Furthermore, with an assumption on the coefficients, we also prove the global-in-time existence of classical solutions near a constant state with small initial data on the torus. |
| Key words: Compressible active liquid crystal model classical solution near equilibrium global in time |
