Physics
Scientific paper
Dec 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004phpl...11l..81g&link_type=abstract
Physics of Plasmas, Volume 11, Issue 12, pp. L81-L84 (2004).
Physics
21
Magnetohydrodynamics, Magnetohydrodynamics And Plasmas, Magnetohydrodynamic Waves
Scientific paper
It is shown that the core equations of both the magnetohydrodynamics and the two-fluid description of stationary axisymmetric equilibrium flows may be derived from variational principles in terms of the core variables of the respective descriptions. The latter replace the primitive variables because of the stream function constraints associated with axisymmetry. This yields a concise representation of stationary flows in tokamaks, accretion disks, and jets, and permits accurate numerical implementation. Since hyperbolic flows occur in both descriptions, the limitation of the variational principles to elliptic flow regimes presents an intricate problem.
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