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可压缩活性液晶模型的解的存在性

江宁 柯琳琳 宋晓宇

数学杂志2023,Vol.43Issue(2):95-125,31.
数学杂志2023,Vol.43Issue(2):95-125,31.

可压缩活性液晶模型的解的存在性

WELL-POSEDNESS FOR THE COMPRESSIBLE ACTIVE LIQUID CRYSTAL MODEL

江宁 1柯琳琳 1宋晓宇2

作者信息

  • 1. 武汉大学数学与统计学院,湖北武汉430072
  • 2. 重庆市巴蜀中学,重庆400013
  • 折叠

摘要

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.

关键词

可压缩活性液晶模型/经典解/平衡态附近/全局时间

Key words

Compressible active liquid crystal model/classical solution/near equilibrium/global in time

分类

数理科学

引用本文复制引用

江宁,柯琳琳,宋晓宇..可压缩活性液晶模型的解的存在性[J].数学杂志,2023,43(2):95-125,31.

基金项目

Supported by National Natural Science Foundation of China(11971360). (11971360)

数学杂志

OACSTPCD

0255-7797

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