Structure and computation of two-dimensional incompressible extended MHD

@article{DGrasso2016StructureAC,
  title={Structure and computation of two-dimensional incompressible extended MHD},
  author={D.Grasso and Emanuele Tassi and Hamdi M. Abdelhamid and Philip J. Morrison},
  journal={Physics of Plasmas},
  year={2016},
  volume={24},
  pages={012110}
}
A comprehensive study of the extended magnetohydrodynamic model obtained from the two-fluid theory for electrons and ions with the enforcement of quasineutrality is given. Starting from the Hamiltonian structure of the fully three-dimensional theory, a Hamiltonian two-dimensional incompressible four-field model is derived. In this way, the energy conservation along with four families of Casimir invariants is naturally obtained. The construction facilitates various limits leading to the… 

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