Seminarium KMMF "Teoria Dwoistości"
sala 2.23, ul. Pasteura 5
2019-05-23 (10:15) 
Wojciech Kryński (IM PAN)
The Camassa-Holm equation and geometry of peakons
Multipeakons are special solutions to the Camassa-Holm equation. They can be described in terms of a geodesic flow on a Riemannian manifold. Singular points of the underlying metric correspond to collisions of the multipeakons. I shall investigate the metric near its singular points in order to analyse the dissipative prolongations of the multipeakons after a collision time.