Astronomy and Astrophysics – Astrophysics
Scientific paper
May 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985ap%26ss.112..157k&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 112, no. 1, May 1985, p. 157-174.
Astronomy and Astrophysics
Astrophysics
4
Euler Equations Of Motion, Magnetohydrodynamic Flow, Potential Fields, Relativistic Plasmas, Stellar Winds, Flow Equations, Formalism, Maxwell Equation, Space-Time Functions
Scientific paper
By introducing three Euler-type potentials, a three-dimensional method to deal with the problems of magnetized stellar winds is formulated. The relativistic Euler equation and that of mass continuity for each species of plasma are integrated formally under isentropic and quasi-stationary conditions, in a flat space-time, with the aid of these potentials. For the sake of applications to electron-proton plasmas, the energy integrals are combined, in the limit of their vanishing mass ratio, to yield the energy integral of the plasma as a whole and the integrated Ohm's law. Maxwell's equations are treated by separating the noncorotational part from the corotational part and it is shown that the electromagnetic potentials for each part are derived from a vector or a scalar super-potential.
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