46 citations · 79 across the 6 of their papers we have counts for
6 papers
Spatial dynamics formulation of magnetohydrostatics
J. W. Burby, M. H. Updike
We present a formalism for importing techniques from dynamical systems theory in the study of three-dimensional magnetohydrodynamic (MHD) equilibria. By treating toroidal angle as…
Variable-moment fluid closures with Hamiltonian structure
J. W. Burby
Based on ideas due to Scovel-Weinstein, I present a general framework for constructing fluid moment closures of the Vlasov-Poisson system that exactly preserve that system's Hamilt…
Variational approach to low-frequency kinetic-MHD in the current coupling scheme
Joshua W. Burby, Cesare Tronci
Hybrid kinetic-MHD models describe the interaction of an MHD bulk fluid with an ensemble of hot particles, which is described by a kinetic equation. When the Vlasov description is…
Variational integration for ideal magnetohydrodynamics with built-in advection equations
Yao Zhou, Hong Qin, J. W. Burby +1
Newcomb's Lagrangian for ideal magnetohydrodynamics (MHD) in Lagrangian labeling is discretized using discrete exterior calculus. Variational integrators for ideal MHD are derived…
Variational integrators for perturbed non-canonical Hamiltonian systems
J. W. Burby, C. L. Ellison, H. Qin
Finite-dimensional non-canonical Hamiltonian systems arise naturally from Hamilton's principle in phase space. We present a method for deriving variational integrators that can be…
Hamiltonian mechanics of generalized eikonal waves
J. W. Burby, H. Qin
In accordance with the Keller-Maslov global WKB theory, a semiclassical scalar wave field is best encoded as a triple consisting of (i) a Lagrangian submanifold in the ray phas…