Finite energy Navier-Stokes flows with unbounded gradients induced by localized flux in the half-space
数学专题报告
报告题目(Title)：Finite energy Navier-Stokes flows with unbounded gradients induced by localized flux in the half-space
报告人(Speaker)：赖柏顺 教授（湖南师范大学）
地点(Place)：后主楼1124
时间(Time)：2025年7月8日下午3:30--4:30
邀请人(Inviter)：许孝精
报告摘要
In this paper we first prove explicit global pointwise estimates of the above solution of Stokes system, showing in particular that it has finite global energy and its derivatives blow up everywhere on the boundary away from the flux. We then use the above solution as a profile to construct solutions of the Navier-Stokes equations which also have finite global energy and unbounded normal derivatives due to the flux. Our main tool is the pointwise estimates of the Green tensor of the Stokes system proved by us in Comm. Math. Phys. 399 (2023). This is a joint work with Kyungkeun Kang, Chen-Chih Lai and Tai-Peng Tsai
