Well-posedness and decay rates to a self-consistent chemotaxis-fluid system around non-constant equilibrium

报告题目: Well-posedness and decay rates to a self-consistent chemotaxis-fluid system around non-constant equilibrium

报告人: 彭英萍  西南交通大学（Southwest Jiaotong University）

时间：5月23日（星期五），14:30-16:30

腾讯会议，会议号：305-267-474  密码：898989

摘要： In this talk, we investigate the evolution of biological populations affected by both chemical substance and surrounding viscous fluid which can be described by a self-consistent chemotaxis-Navier-Stokes system

In  Compared to the most extensively studied analogues, we consider simultaneously in the system the friction and its reaction force between cells and the moving surrounding fluid. It is noteworthy that this system exhibits a non-constant equilibrium state , where  is an arbitrary positive constant. We obtain the global existence of low regularity solutions for general , and high regularity solutions for constant as well as its corresponding decay rates near this inhomogeneous state. This talk is based on a joint work with Prof. Zhaoyin Xiang.