Variational principle for relativistic magnetohydrodynamics

Details Variational principle for relativistic magnetohydrodynamics Variational principle for relativistic magnetohydrodynamics

Oct 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983phrva..28.2449a&link_type=abstract

Physical Review A - General Physics, 3rd Series (ISSN 0556-2791), vol. 28, Oct. 1983, p. 2449-2458.

Astronomy and Astrophysics

Astrophysics

19

Astrophysics, Magnetohydrodynamic Waves, Plasma Interactions, Relativistic Effects, Variational Principles, Euler-Lagrange Equation, Lagrange Multipliers, Maxwell Equation, Plasma Dynamics, Relativistic Plasmas

Scientific paper

A variational principle for relativistic magnetohydrodynamics is formulated from a Lagrangian point of view. This principle is used to calculate the properties of small-amplitude MHD waves and their interaction with the mean flow. The formalism is extended to include the generation of waves by an 'external' current. A simple transformation law for the Maxwell tensor in MHD is found which links the value of the tensor at some initial proper time to its actual value.

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