国家天元数学中部中心偏微分方程系列报告 | 王文栋 教授(大连理工大学)

发布时间: 2022-11-20 11:25

报告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.