published on July 7, 2026
Boundary conditions and non kinematic free boundaries for wave-structure interactions
By David Lannes
By Piotr Bizon
Appears in collection : Nonlinear Waves Trimester - May Conference
We consider equivariant wave maps from $R^{d+1}$ into $S^d$ for $d\geq 3$. Using mixed analytic and numerical tools we describe the dynamics of generic blowup and the threshold for blowup. We hope that our plausibility arguments will stimulate rigorous studies of this problem. This is joint work with Pawel Biernat and Maciej Maliborski