报告人：Alexander Kiselev, Duke University
报告人简介:Alexander Kiselev，美国杜克大学教授，2018年国际数学家大会（ICM）邀请报告人， 是2019年Brooke Benjamin Lecture主讲人， 2020年入选Simons Fellow.
报告题目：Small scale and singularity formation in fluid mechanics
摘要：The Euler equation describing motion of ideal fluid goes back to 1755. The analysis of the equation is challenging since it is nonlinear and nonlocal. Its solutions are often unstable and spontaneously generate small scales. The fundamental question of global regularity vs finite time singularity formation remains open for the Euler equation in three spatial dimensions. In this lecture, I will review the history of this question and its connection with the arguably greatest unsolved problem of classical physics, turbulence. Recent results on small scale and singularity formation for the Euler equation in two dimensions, for the surface quasi-geostrophic (SQG) equation, and for a number of related models will also be presented.
报告时间：7月10日, 20:30-22:00(Harbin), 07:30-09:00(Durham), 14:30-16:00(Paris)
Zoom webinar ID: 986 0085 7516