Will give a Colloquium entitled:
Ill-posedness of equations of inviscid fluid mechanics
Abstract: In the talk we will explore some phenomena of turbulence of fluids, and we will discuss how some recent developments in the mathematical analysis of the 2D and 3D Euler equations, and the Navier-Stokes equations, help understand these phenomena. In particular, we will see that some new results on ill-posedness of the Euler equations provide new analytical methods of studying unique local-in-time solutions for some initial conditions with low regularity, and demonstrate new mechanisms of growth of high-frequency dynamics of incompressible fluids.
Date: 12-01-2025
Time: 4:00 pm
Location: 129 Hayes-Healy Center