Global solutions to the free boundary problem of a chemotaxis-Navier-Stokes system
报告题目(Title)： Global solutions to the free boundary problem of a chemotaxis-Navier- Stokes system
报告人(Speaker)：侯倩倩 （哈尔滨工业大学）
地点(Place)：腾讯会议ID：641 164 768
时间(Time)：11月14日（周六），11:10-12:10（北京时间）22:10-23：10（美国东部时间）
邀请人(Inviter)：Calvin Khor, 吴家宏，许孝精，袁迪凡
报告摘要
Chemotaxis is a common phenomenon in biology. Concerning the liquid living environment of micro-organisms, Tuval et al. proposed a chemotaxis-Navier-Stokes system to describe the dynamics of cell-fluid interactions based on experimental observations. In this talk, we investigate the global solvability of the chemotaxis-Navier-Stokes system on a three-dimensional moving domain of finite depth, bounded below by a rigid flat bottom and bounded above by the free surface. We establish the global existence and uniqueness of solutions near a constant state $(0,\hat{c},0)$, where $\hat{c}$ is the saturation value of the oxygen on the free surface.
