publiée le 7 juillet 2026
Boundary conditions and non kinematic free boundaries for wave-structure interactions
De David Lannes
De Luis Vega
Apparaît dans la 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.