Geometry and Dynamics Seminar

Sergiy Vasylkevych

(Jacobs University)

"The geometry behind the Camassa-Holm equation"


Date: Tue, November 24, 2009
Time: 14:00
Place: Research I Seminar Room

Abstract: The Camassa-Holm equation was initially discovered by Fokas and Fuchsteiner in 1981 as a member of a family of completely integrable systems.

However, the interest to this equation surged after the work of Camassa and Holm in 1993, who derived it as a model for unidirectional shallow water flow and studied extensively. The equation possesses remarkable geometrical properties that relate it both to KDV and Euler's equation of inviscid incompressible fluid. These properties will be the focus of my talk.