Symplectic non-squeezing for the KdV flow on the line

Date: 
Friday, September 25, 2020 - 3:00pm
Location: 
Zoom
Speaker: 
Maria Ntekoume

Please access the talk through the Research Seminars page ( https://researchseminars.org/seminar/MO_Analysis ); you will need to register for a free account. If you have any difficulty, please contact Samuel Walsh (walshsa@missouri.edu).

Abstract:

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