Astronomy and Astrophysics – Astronomy
Scientific paper
Nov 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996apj...471..489p&link_type=abstract
Astrophysical Journal v.471, p.489
Astronomy and Astrophysics
Astronomy
13
Magnetohydrodynamics: Mhd
Scientific paper
The dynamical behavior of an electrically conducting fluid containing a magnetic field B is described by Newton's and Maxwell's equations directly in terms of the momentum density, Reynolds stress, and Maxwell stress, all expressed simply in terms of B and v. The mathematical solution to the equations with the appropriate initial conditions (t = 0) and boundary conditions on B and v provides a complete and unique description of B and v for t > 0 so that further modifications are not possible. On the other hand, the electric current paradigm urged by Melrose provides dynamical equations that are mathematically intractable. The declaration of an electric current analog to replace a mathematical solution of the dynamical equations yields results that are at variance with the solutions of Newton's and Maxwell's equations. We suggest that a proper solution of the equations in terms of B and v is the preferable modus operandi in large-scale astronomical scenarios.
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