Dynamics of Partial Differential Equations
Volume 8 (2011)
Geometry of nonabelian charged fluids
Pages: 5 – 19
The goal of this paper is to derive the Hamiltonian structure of polarized and magnetized Euler-Maxwell fluids by reduction of the canonical symplectic form on phase space, and to generalize the dynamics to the non- abelian case. The Hamiltonian function we propose in this case, allows us to unify and relate in a simple way the main models of nonabelian charged fluids and their Hamiltonian structures.
reduction, Poisson brackets, nonabelian charged fluid, Yang-Mills field, Yang-Mills magnetohydrodynamics, Yang-Mills electrohydrodynamics, chromohydrodynamics
2010 Mathematics Subject Classification
37K65, 53C80, 76W05