数学与统计学院学术报告[2021] 133号
(高水平大学建设系列报告633号)
报告题目: Suppression of blow-up in Patlak-Keller-Segel-Navier-Stokes system via the Couette flow
报告人:訾瑞昭 教授 (华中师范大学)
报告时间:2021年12月2日上午10:00--11:00
腾讯会议:158212554
报告内容: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 based on the joint work with Lan Zeng and Zhifei Zhang.
报告人简历:訾瑞昭 教授、华中师范大学首批“桂子青年学者”。主要从事流体中的偏微分方程的解的适定性与稳定性的研究。在 Archive for Rational Mechanics and Analysis, Mathematische Annalen, Journal of Functional Analysis, Annales de l'Institut Henri Poincaré–Analyse non linéaire, SIAM Journal on Mathematical Analysis, Nonlinearity, Journal of Differ ential Equations等国际知名期刊上发表论文20余篇。先后主持国家自然科学基金青年科学基金项目及面上项目各一项。
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数学与统计学院
2021年12月1