Global smooth solutions to compressible Navier-Stokes equations under Dirichlet boundary conditions
数学专题报告
报告题目(Title):Global smooth solutions to compressible Navier-Stokes equations under Dirichlet boundary conditions
报告人(Speaker):樊心宇 博士(中国科学院数学与系统科学研究院)
地点(Place):后主楼1220
时间(Time):2025年11月12日(周三)14:30-15:30
邀请人(Inviter):袁迪凡
报告摘要
In this talk, we investigate the initial boundary value problems of compressible Navier-Stokes equations under non slip boundary conditions. The crucial obstacle is the lack of information on the rotation of velocity field near the boundary. To handle it, we divide the whole domain into the inner and boundary parts along a free surface, and make sure that the vacuum is only available in the inner part, which provides the higher order estimates of density near the boundary. This is a joint work with Professor Jing Li.
主讲人简介
樊心宇博士毕业于中国科学院数学与系统科学研究院。之后前往北京应用物理与计算数学研究所邓创中心做博士后,现在为中国科学院数学与系统科学研究院博士后。