报告题目：Kato's condition for vanishing viscosity near Onsager's critical regularity

报告时间：2024-07-24  09:50-10:40

报 告 人：陈明 副教授（匹兹堡大学）

报告地点：理学院东北楼四楼报告厅(404)

Abstract:In 1984 T. Kato showed that for sufficiently regular solutions, the vanishing viscosity limit is equivalent to having vanishing viscous dissipation in a boundary layer of width proportional to the viscosity. We prove that Kato's criterion holds for Holder continuous weak solutions with the regularity index arbitrarily close to the Onsager's critical exponent through a new boundary layer foliation and a global mollification technique. This is a joint work with Zhilei Liang and Dehua Wang.