Zygmund-Calderón Lectures in Analysis: Pierre Raphael (Cambridge)

4:00–5:00 pm Eckhart Hall

Room 206

Lecture 1: Singularity Formation in The Super Critical Range


The 6th Clay problem has a very simple formulation: may incompressible f luids form singularities? In dimension two, the problem is critical and Leray’s answer is 100 years old: no. In dimension three, the problem is open and belongs to the class of super critical problems. In this first lecture, I will illustrate the concept of criticality on canonical non linear models, including f luid and dispersive type equations, and describe classical open problems in the f ield.

Event Type


May 9