Partial regularity of solutions to the 3D chemotaxis-Navier-Stokes equations

2022.08.01（星期一），14:30-16:30

点：数学院南楼N208

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.