报 告 人：崔世坤(博士后), 中国科学院数学与系统科学研究院

邀 请 人：刘辉

报告时间：2026年08月14日（星期五）14:00-15:00

报告地点：老办公楼214

报告摘要： In this talk, we focus on the suppression of blow-up for the Patlak-Keller-Segel-Navier-Stokes system via shear flows. As is well known, for the two-dimensional PKS system, when the initial cell mass is greater than 8\pi, the solutions will blow up in the finite time, while for the three-dimensional PKS system, the solutions will blow up in the finite time for any initial cell mass. We prove that when the shear flows are strong enough, the solution of the system will not blow up in the finite time. It is a joint work with Lili Wang and Wendong Wang.

报告人简介：崔世坤，中国科学院数学与系统科学研究院博士后，博士毕业于大连理工大学。主要兴趣为偏微分方程的分析与数值研究。目前关注于趋化与流体方程解的爆破、稳定性与不稳定性等，在J. Math. Pures Appl、SIAM J. Math. Anal、Nonlinearity、J. Differ. Equations等刊物上发表论文10余篇。