3 citations · 5 across the 12 of their papers we have counts for
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On finite-dimensional smoothed-particle Hamiltonian reductions of the Vlasov equation
William Barham, Philip J. Morrison
The inclusion of spatial smoothing in finite-dimensional particle-based Hamiltonian reductions of the Vlasov equation are considered. In the context of the Vlasov-Poisson equation…
A Hamiltonian and geometric formulation of general Vlasov-Maxwell-type models
William Barham, Philip J. Morrison, Eric Sonnendrücker
Three geometric formulations of the Hamiltonian structure of the macroscopic Maxwell equations are given: one in terms of the double de Rham complex, one in terms of L2 duality, an…
A Hamiltonian model for the macroscopic Maxwell equations using exterior calculus
William Barham, Philip J. Morrison, Eric Sonnendrücker
A Hamiltonian field theory for the macroscopic Maxwell equations with fully general polarization and magnetization is stated in the language of differential forms. The precise proc…