148 citations · 1.1k across the 66 of their papers we have counts for
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Geometry and Dynamics of Gaussian Wave Packets and their Wigner Transforms
Tomoki Ohsawa, Cesare Tronci
We find a relationship between the dynamics of the Gaussian wave packet and the dynamics of the corresponding Gaussian Wigner function from the Hamiltonian/symplectic point of view…
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…
Existence of Global Weak Solutions to a Hybrid Vlasov-MHD Model for Magnetized Plasmas
Bin Cheng, Endre Süli, Cesare Tronci
We prove the global-in-time existence of large-data finite-energy weak solutions to an incompressible hybrid Vlasov-magnetohydrodynamic model in three space dimensions. The model c…
From liquid crystal models to the guiding-center theory of magnetized plasmas
Cesare Tronci
Upon combining Northrop's picture of charged particle motion with modern liquid crystal theories, this paper provides a new description of guiding center dynamics (to lowest order)…
Variational principles for the guiding-center Vlasov-Maxwell equations
A. J. Brizard, C. Tronci
The Lagrange, Euler, and Euler-Poincaré variational principles for the guiding-center Vlasov-Maxwell equations are presented. Each variational principle presents a different approa…