published on July 7, 2026
Boundary conditions and non kinematic free boundaries for wave-structure interactions
By David Lannes
Stability of line solitons for the KP-II equation
Appears in collection : Nonlinear Waves Trimester - May Conference
The KP-II equation was derived by Kadmotsev and Petviashvili to explain stability of line solitary waves of shallow water. In this talk, I will show stability of $1$-line solitons for perturbations in the class $(1+x^2)^{-1/2-0}H^1(\mathbb{R}_{x,y}^2)$
