中科院数学与系统科学研究院
数学研究所
学术报告
偏微分方程研讨班
报告人： 王文栋 教授（大连理工大学）
题 目：Partial regularity of solutions to the 3D chemotaxis-Navier-Stokes equations
时 间：2022.08.01（星期一），14:30-16:30
地 点：数学院南楼N208
摘 要：In this talk we investigate partial regularity of weak solutions of the three dimensional chemotaxis-Navier-Stokes equations, and obtain the 5/3-dimensional Hausdorff measure of the possible singular set is vanishing at the first blow-up time. The new ingredients are to establish certain type of local energy inequality and deal with the non-scaling invariant quantity of $n\ln n$. This is a joint work with Shuai Li and Xiaomeng Chen.
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