Sherwood 2015

Abstract Details

files Add files

Hamiltonian formulation of the gyrokinetic Vlasov-Maxwell equations

Author: Joshua W Burby
Requested Type: Poster Only
Submitted: 2015-01-20 09:29:18

Co-authors: A. J. Brizard, P. J. Morrison, H. Qin

Contact Info:
3 Grovers Ct
West Windsor, NJ   08550

Abstract Text:
The gyrokinetic Vlasov-Maxwell equations are cast as an infinite-dimensional Hamiltonian system. The gyrokinetic Poisson bracket is remarkably simple and similar to the Morrison-Marsden-Weinstein bracket for the Vlasov-Maxwell equations. By identifying many of the bracket's Casimirs, this work enables (i) the derivation of gyrokinetic equilibrium variational principles and (ii) the application of the energy-Casimir method and the method of dynamically-accessible variations to study stability properties of gyrokinetic equilibria.


March 16-18, 2015
The Courant Institute, New York University