@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 = "20 maio 2024"
}