Symplectic non-squeezing for the cubic NLS on R^2
New challenges in PDE: Deterministic dynamics and randomness in high and infinite dimensional systems October 19, 2015 - October 30, 2015
Location: MSRI: Simons Auditorium
We prove that the flow of the mass-critical 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. This is joint work with R. Killip and X. Zhang
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