Symplectic non-squeezing for the cubic NLS on the plane | Vidéo | Carmin.tv

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Symplectic non-squeezing for the cubic NLS on the plane

By Monica VISAN

Nonlinear Schrödinger equation

Appears in collection : Nonlinear Waves Trimester - May Conference

We prove that the flow of the cubic NLS in two dimensions cannot squeeze a ball in $L^2$ into a cylinder of lesser radius. This is a PDE analogue of Gromov's non-squeezing theorem for an infinite-dimensional Hamiltonian PDE in infinite volume. It is joint work with R. Killip and X. Zhang

Information about the video

Date of recording 25/05/2016
Date of publication 03/06/2016
Institution IHES
Format MP4

Domain(s)

Analysis of PDEs

MSC codes

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