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Hamiltonian canonical formulation of Hall-magnetohydrodynamics: Toward an application to weak turbulence theory

Belmont, G.; Sahraoui, F.; Rezeau, L.

The different levels of description of fluid media [e.g., magnetohydrodynamics (MHD), Hall-magnetohydrodynamics, bi-fluid,…] are commonly known under the form of Newtonian systems of equations. Nevertheless, this form proves to be ill-suited to derive a fully analytical weak turbulence theory of these media, due to the well-known complexity of the…