DMS Applied Mathematics Seminar

Time: Sep 03, 2021 (03:00 PM)
Location: ZOOM



Speaker: Maria Ntekoume, Rice University

Title: Symplectic non-squeezing for the KdV flow on the line 

Abstract: In this talk we prove that the KdV flow on the line cannot squeeze a ball in \(\dot H^{-\frac 1 2}(\mathbb R)\) into a cylinder of lesser radius. This is a PDE analogue of Gromov’s famous symplectic non-squeezing theorem for an infinite dimensional PDE in infinite volume.