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Blow-up suppression for the Patlak–Keller–Segel–Navier–Stokes system via the Couette flow

发布时间:2026年05月13日 10:30 浏览量:

报告题目:Blow-up suppression for the Patlak–Keller–Segel–Navier–Stokes system via the Couette flow

人:Shikun Cui(崔世坤, Postdoc @ AMSS, CAS - Chinese Academy of Sciences)

报告时间:2026514日(星期四)10:0010:45

报告地点:6776永利集团114(小报告厅)      

校内联系人:廖娴 教授       联系方式:84708351-8510


摘要: In this talk, we will present recent progress on the suppression of blow-up for the three-dimensional Patlak-Keller-Segel-Navier-Stokes system via the Couette flow. As is well known, for the two-dimensional PKS system, solutions blow up in finite time when the initial cell mass exceeds 8π; for the three-dimensional PKS system, blow-up may occur in finite time for any positive initial cell mass. We prove that when the Couette flow are sufficiently strong, the solutions of the coupled system do not blow up in finite time. It is a joint work with Lili Wang and Wendong Wang.


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