报 告 人：侯倩倩 副教授
报告题目：Global solutions to the free boundary problem of a chemotaxis-Navier-Stokes system
报告时间：2023年6月28日（周三）上午10:00-12:00
报告地点：腾讯会议：958-794-085
主办单位：数学与统计学院、数学研究院、科学技术研究院
报告人简介：
侯倩倩，哈尔滨工业大学，数学研究院副教授。2018年博士毕业于香港理工大学，数学与应用数学系。主要从事趋化模型的数学研究，包括经典趋化模型、趋化流体耦合模型解的适定性等。主持的项目国家自然科学基金青年基金、中国博士后特别资助。部分论文发表在JMPA,SIAM JMA, Nonlinearity,JDE等期刊。
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.