published on July 7, 2026
Boundary conditions and non kinematic free boundaries for wave-structure interactions
By David Lannes
Blow up for the 1d Cubic NLS and Related Systems
By Luis Vega
Appears in collection : Advances in Nonlinear Analysis and Nonlinear Waves, a conference in honor of Frank Merle
We will review some recent results about the formation of singularities for the one-dimensional Schrödinger equation with cubic nonlinearity. The connection will be also established with the Schrödinger map and the vortex filament equation.
