威廉希尔学术报告

--- 分析与偏微分方程讨论班(2023秋季第24讲)

Suppression of blow-up in Patlak-Keller-Segel-Navier-Stokes system via the Poiseuille flow

向昭银 (电子科技大学)

时间：11月30日（周四）上午10:30-11:30

地点： 腾讯会议：332-539-924

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https://meeting.tencent.com/dm/uHxxjt6G7h7w

摘要: In this talk, we investigate the two-dimensional Patlak-Keller-Segel-Navier-Stokes system perturbed around the Poiseuille flow $(Ay^2, 0)^\top$ and show that the solutions to this system are global in time if the Poiseuille flow is sufficiently strong in the sense of amplitude A large enough. This seems to be the first result showing that the Poiseuille flow can suppress the chemotactic blow-up of the solution to chemotaxis-fluid system. Our proof will be based on a weighted energy method together with the linear enhanced dissipation established by Coti Zelati-Elgindi-Widmayer (Commun. Math. Phys. 378 (2020) 987-1010). This is a joint work with Dr H Li and Professor X Xu.

报告人简介: 向昭银，电子科技大学威廉希尔教授、博士生导师；2006年博士研究生毕业于四川大学；主要从事偏微分方程的研究，在《Communication in Partial Differential Equations》、《Calculus of Variations and Partial Differential Equations》、《International Mathematics Research Notices》、《Journal of Functional Analysis》、《Mathematische Zeitschrift》、《Mathematical Models and Methods in Applied Sciences》、《Journal of Differential Equations》、《Nonlinearity》 等国际著名SCI期刊上发表学术论文 60 余篇；主持国家自然科学基金面上项目、中国博士后科学基金、教育部留学回国人员科研启动基金等；入选四川省杰出青年学术技术带头人资助计划、四川省学术和技术带头人后备人选等。

邀请人：郑孝信

欢迎大家参加！