published on July 7, 2026
Boundary conditions and non kinematic free boundaries for wave-structure interactions
By David Lannes
The Soliton Resolution Conjecture for the Benjamin-Ono Equation
Appears in collection : Partial Differential Equations, Analysis and Geometry
The soliton resolution conjecture for a dispersive equation claims that, in the long time asymptotics, every solution decouples as a sum of soliton solutions up to a radiative remainder. I will discuss a recent proof of this conjecture in the special case of the Benjamin-Ono equation ( in collaboration with Louise Gassot and Peter Miller).
