Global well-posedness of one class of initial-boundary value problem on incompressible Navier-Stokes equations and the related models
数学专题报告
报告题目(Title)：Global well-posedness of one class of initial-boundary value problem on incompressible Navier-Stokes equations and the related models
报告人(Speaker)：王术 教授，北京工业大学数学学院
地点(Place)：腾讯会议号：472-433-567
时间(Time)：2022年7月14日上午9:30—10:30
邀请人(Inviter)：许孝精
报告摘要
The global well-posedness the initial-boundary value problem on incompressible Navier-Stokes equations and the related models in the domain with the boundary is studied. The global existence of a class of weak solution to the initial boundary value problem to two/three-dimensional incompressible Navier-Stokes equation with the pressure-velocity relation at the boundary is obtained, and the global existence and uniqueness of the smooth solution to the corresponding problem in two-dimensional case is also established. Some extends to the corresponding incompressible fluid models such as Boussinesq equation and FSI models etc. are given.
