Abstract
In this lecture, the speaker will discuss the global regularity problem of the incompressible Navier-Stokes equations in spatial dimension three. This system describes the motion of viscous fluid substances and the physics of many phenomena of scientific and engineering interest. As one of the seven most important open problems in mathematics listed by Clay Institute, its great interest in a purely mathematical sense is well-known.
A classical mathematical formulation of this problem is to figure out whether local regular solutions can be extended for all later time. The speaker will first review those existing fantastic progress and then discuss the recent results. Then he will discuss some interesting open problems.
About the speaker
Prof Zhen Lei received his PhD from Fudan University in 2006. He was a postdoctoral scholar at California Institute of Technology in 2007 to 2008. He joined Fudan University as an associate professor in 2009, and has been a professor there since 2011. He was also a research associate at Caltech and Harvard University in 2012 to 2013.
Prof Lei is a world-top expert in the area of partial differential equations, elasticity theory and fluid dynamics. His recent research is about the most recent updates on incompressible Navier-Stokes equations (one of the seven Clay problems). He has become a member of the Editorial Board of Communications on Pure and Applied Analysis since 2014.
Prof Lei’s thesis won National 100 Excellent Doctoral Dissertation in 2008. He was the recipient of Higher Education Outstanding Scientific Research Output Award (Science and Technology), First Class in the category of natural science from the Ministry of Education in 2011. He was awarded the Natural Science Funds for Excellent Young Scholars of China in 2012. In 2014, he was also awarded the Shanghai Natural Science Peony Prize and National Support Program for Top-Notch Young Talents. He was elected the Yangtse River Scholar (Young Scholar Programme) in 2016.
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