Navier-Stokes Existence and Uniqueness: How to Win a $1 Million Clay Prize

Publisher：闻天明Release Time：2021-12-07Number of visits：272

Speaker:      Prof. David Silvester, University of Manchester
Time:           16:00-17:00  Dec.09.2021 

Host:            Prof. Yue Qiu

Link:                 Zoom:    https://zoom.us/j/97922158055?pwd=WDN5Y0lHZytjMG1McmtmY0treFdtQT09      

                                            Number：979 2215 8055      Password：334571

                        Bilibili:    https://live.bilibili.com/22272691
Location:       SIST 1A 200

Abstract:    

In the year 2000, the Clay Mathematics Institute selected seven of the most important open problems in modern mathematics and offered a prize of $1 million for a solution to any of them. Twenty years on, only one millennium prize problem has been solved. In this talk, Prof. David Silvester will discuss the Navier-Stokes existence and smoothness problem, one of the six remaining unsolved problems.

The Navier-Stokes equations are central to fluid dynamics and its applications to engineering and physics, describing viscous turbulent flow, e.g. of air around an aeroplane wing, weather patterns and blood flow through arteries. Despite the wide-ranging applicability of the Navier-Stokes equations, it is still not known whether they always admit smooth solutions, which contain no unphysical blow-ups, or singularities. 


Bio:    

David Silvester obtained his Bachelor degree of mathematics in 1980 and PhD degree of numerical analysis in 1983 both from University of Manchester. After a short stay at the United Kingdom Atomic Energy Authority, he started working at University of Manchester since 1984 as Lecturer, Senior Lecturer and Reader. He is promoted to full professor in 2003, and he is currently the head of applied mathematics in the department of mathematics of University of Manchester. His research focuses on computational fluid dynamics, scientific computing and uncertainty quantification. He won the Fullbright Senior Fellowship award in 1991 and holds several visiting positions at universities in France, Germany, and the US. He has published 2 monographs and more than 100 journal papers. He serves/has served in the editorial board of Journal Scientific Computing and SIAM Journal of Scientific Computing.