@Article{Ludwig:2020:VaFoPl,
author = "Ludwig, Gerson Otto",
affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)}",
title = "Variational formulation of plasma dynamics",
journal = "Physics of Plasmas",
year = "2020",
volume = "27",
number = "2",
pages = "e022110",
month = "feb.",
abstract = "Hamiltons principle is applied to obtain the equations of motion
for fully relativistic collision-free plasma. The variational
treatment is presented in both the Eulerian and Lagrangian
frameworks. A Clebsch representation of the plasma fluid equations
shows the connection between the Lagrangian and Eulerian
formulations, clarifying the meaning of the multiplier in Lins
constraint. The existence of a fully relativistic hydromagnetic
Cauchy invariant is demonstrated. The Lagrangian approach allows a
straightforward determination of the Hamiltonian density and
energy integral. The definitions of momentum, stress, and energy
densities allow one to write the conservation equations in a
compact and covariant form. The conservation equations are also
written in an integral form with an emphasis on a generalized
virial theorem. The treatment of boundary conditions produces a
general expression for energy density distribution in plasma
fluid.",
doi = "10.1063/1.5139315",
url = "http://dx.doi.org/10.1063/1.5139315",
issn = "1070-664X",
language = "en",
targetfile = "ludwig_variational.pdf",
urlaccessdate = "01 jun. 2024"
}