报告人：訾瑞昭 副教授（华中师范大学）
报告题目:Suppression of blow-up in Patlak-Keller-Segel-Navier-Stokes system via the 2D Couette flow
报告摘要: In this talk, we consider the two-dimensional Patlak-Keller-Segel-Navier-Stokes system near the Couette flow (Ay,0) in $\mathbb{T}\times \mathbb{R}$. It is shown that if A is large enough, the solution to the system stays globally regular. Both the parabolical-parabolic case and the the parabolic-elliptic case are investigated. In particular, for the parabolic-parabolic case, an extra smallness assumption on the initial chemical gradient $\|(\nb c_\mathrm{in})_\neq\|_{L^2}$ is needed to control the mixing destabilizing  effect. This is a joint work with Zeng Lan and Zhang Zhifei.

报告时间：2019年11月8日（星期五）下午16：30-18：30