Description
A proof of the soliton resolution conjecture for the Benjamin-Ono equation
The soliton resolution conjecture for the Benjamin-Ono equation states that every solution on the line with a sufficiently smooth and decaying initial datum expands as time tends to infinity as a finite sum of decoupled soliton solutions added to a radiation term.
I will state a precise version of this conjecture and I will describe the main steps of it proof. This is a joint work in collaboration with Louise Gassot and Peter Miller.
