报告题目:The Existence and Partial Regularity of Suitable Weak Solutions to the 3D Chemotaxis-Navier-Stokes Equations
报告时间:2022-11-25 16:00 - 17:00
报告人:王文栋 教授 大连理工大学
腾讯会议ID:953-6730-7604 会议密码:1104
报告链接:https://meeting.tencent.com/dm/ZA93IvnAaFNZ
Abstract:In this talk we investigate the existence and partial regularity of a class 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. The new ingredients are to establish certain type of local energy inequality of weak form and deal with the non-scaling invariant quantity of nlnn. This is a joint work with Xiaomeng Chen, Shuai Li and Lili Wang.