报告人：王维克（上海交通大学）

时间：2023年12月22日 09:30-

地址：理科楼LA106

摘要：we introduce both parabolic-elliptic Patlak-Keller-Segel model and parabolic-parabolic Patlak-Keller-Segel model in the background of a Couette flow with spatial variables in R^3. It is proved that for both parabolic-elliptic and parabolic-parabolic cases, a Couette flow with a sufficiently large amplitude prevents the blow-up of solutions. This result is totally different from either the classical Patlak-Keller-Segel model or the case with a large shear flow and the periodic spatial variable x; for those two cases, the solution may blow up. Here, we apply Green’s function method to capture the suppression of blow-up and prove the global existence of the solutions.

简介：王维克，上海交通大学数学科学学院特聘教授，上海自然科学院常务副经理，上海工业与应用数学会监事长，国际数学杂志《CPAA》合作主编。曾主持获得上海市自然科学一等奖，上海高校教学名师奖，主讲的课程《数学之旅》遴选为国家精品在线课程。

邀请人：穆春来

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