中科院数学与系统科学研究院
数学研究所
学术报告
偏微分方程研讨班
报告人：Siming He（University of South Carolina）
题 目：Enhanced dissipation and blow-up suppression in a chemotaxis-fluid system
时 间：2022.10.31（星期一）09:00-10:00
地 点：Meeting ID: 924 888 5804 Passcode: AMSS2022
摘 要：In this talk, we will present a coupled Patlak- Keller-Segel-Navier-Stokes (PKS-NS) system that models chemotaxis phenomena in the fluid. The system exhibits critical threshold phenomena. For example, if the total population of the cell density is less than $8\pi$, then the solutions exist globally in time. Moreover, finite time blowup solutions exist if this population constraint is violated. We further show that globally regular solutions with arbitrary large cell populations exist. The primary blowup suppression mechanism is the shear flow mixing induced enhanced dissipation phenomena
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