A path of understanding fluid equations: from Leray to Ladyzhenskaya, and beyond

  • Mimi Dai (University of Illinois, Chicago)
Felix-Klein-Hörsaal Universität Leipzig (Leipzig)


The mathematical theory of incompressible fluids, Ladyzhenskaya’s favorite topic, still poses challenges for us today. We briefly review the pioneering work of Leray on weak solutions for the Navier-Stokes equation (NSE), and the fundamental contributions of Ladyzhenskaya on the unique solvability of the NSE and the global attractor problem. We will then present some recent results on the regularity and large time behaviour of solutions for the NSE. Connections between these findings and Kolmogorov’s turbulence theory will be discussed as well.

16.10.08 25.10.23

Ladyzhenskaya-Vorlesung Leipzig

Universität Leipzig Felix-Klein-Hörsaal

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail