郝成春的个人主页 | Chengchun HAO's Homepage
研究员、博士生导师,中国科学院数学与系统科学研究院 数学研究所 | Professor, Institute of Mathematics, AMSS, CAS
中科院数学与系统科学研究院
数学研究所
偏微分方程研讨班
题目/Title: Incompressible limit for the compressible Ericksen-Leslie's hyperbolic liquid crystal model
报告人:栗付才 教授(南京大学)
时间:2020年11月18日周三 下午3:00-4:00
地点:腾讯会议,会议号316 317 660
摘要:In this talk, I shall discuss the incompressible limit of the Ericksen-Leslie's hyperbolic liquid crystal model in compressible flow. We first derive the uniform energy estimates on the Mach number $\epsilon$ for both the compressible system and its differential system with respect to time under the uniformly in $\epsilon$ small initial data. Then, we take the limit in the compressible system to establish the global classical solution of the incompressible system. Moreover, we also obtain the convergence rates for the well-prepared initial data case. This talk is based on the joint work with L. Guo, N. Jiang, Y. Luo and S. Tang.
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