Prof. Mimi Dai: A path of understanding fluid equations: from Leray to recent breakthroughs
EINLADUNG ZUM OBERSEMINAR
ANALYSIS UND ANGEWANDTE MATHEMATIK
am Montag, den 03.07.2023, um 15:15, in Raum 1403
Meeting ID: 962 1709 1997
A path of understanding fluid equations: from Leray to recent breakthroughs
Professor Mimi Dai (University of Illinois)
The mathematical theory of incompressible fluids, a classical topic, still poses challenges today. The pioneering work of Leray in 1930s built the foundation for the Navies-Stokes equation (NSE), the governing equation of fluid motion. It also raised some important questions. One renowned question is regarding the appearance of singularity of solutions to the 3D NSE in finite time; another one concerns the well-posedness of the Leray-Hopf weak solution. We will talk about some major breakthroughs toward resolving these problems, sparked by empirical laws in physics and techniques from other disciplines of mathematics.