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

发布时间：2022-11-16 作者：浏览次数：

Speaker:	向昭银	DateTime:	2022年11月17日（周四）下午3：30-4：30
Brief Introduction to Speaker: 向昭银，电子科技大学数学科学学院教授、博士生导师、副院长；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 CPDE、Cal Var、IMRN、JFA、Math Z 等期刊上发表学术论文 70 余篇；先后主持国家自然科学基金、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。		Place:	腾讯会议：988-997-958，密码：1117
Abstract: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.