Kato condition for vanishing viscosity limit near Onsager’s critical regularity
报告题目(Title)：Kato condition for vanishing viscosity limit near Onsager’s critical regularity
报告人(Speaker)：梁之磊 教授 西南财经大学
地点(Place)：腾讯会议 ID：592 629 086
时间(Time)：2021-06-24（星期四）， 2:00-3:00 pm （Beijing Time）
邀请人(Inviter)：许孝精, 袁迪凡
报告摘要
We consider a vanishing viscosity sequence of weak solutions of the threedimensional Navier–Stokes equations on a bounded domain. In a seminal paper [Kato (1984), Math. Sci. Res. Inst. Publ., Springer, New York] 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 solutions with the regularity index arbitrarily close to the Onsager’s critical exponent.
主讲人简介
西南财经大学数学学院教授，四川省“学术与学科带头人后备人选”、入选西南财经大学首届“光华百人计划”。已在Arch. Rational Mech. Anal. 、 J. Math. Pures Appl. 、 Math. Mod. Meth. Appl. Sci 、SIAM J. Math. Anal. 等杂志发表多篇文章。
