CAS Seminar

Haidar Mohamad

(Jacobs University)

"Optimal balance via adiabatic invariance of approximate slow manifolds"

Date: Wed, November 23, 2016
Time: 09:45
Place: Research I Seminar Room

Abstract: We present rigorous proofs for the optimal potential vorticity balance method introduced by Vi¨dez and Dritschel for a finite dimensional toy model of semi-geostrophic dynamics. This method generates initial conditions of Hamiltonian multi-scale systems which are adiabatically void of fast degrees of freedom. In particular, we show how the accuracy of the balancing procedure depends on the chosen ramping function. This is joint work with G.A. Gottwald and M. Oliver.