publiée le 7 juillet 2026
Boundary conditions and non kinematic free boundaries for wave-structure interactions
De David Lannes
Symplectic non-squeezing for the cubic NLS on the plane
De Monica VISAN
Apparaît dans la 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
