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
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)