Shock waves in relativistic magnetohydrodynamics under general assumptions

Details Shock waves in relativistic magnetohydrodynamics under general assumptions Shock waves in relativistic magnetohydrodynamics under general assumptions

Dec 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976jmp....17.2135l&link_type=abstract

Journal of Mathematical Physics, vol. 17, Dec. 1976, p. 2135-2142.

Astronomy and Astrophysics

Astrophysics

19

Astrophysics, Magnetoacoustic Waves, Magnetohydrodynamics, Nonequilibrium Thermodynamics, Relativistic Plasmas, Shock Wave Propagation, Existence Theorems, Propagation Velocity, Shock Fronts, Uniqueness Theorem, Wave Fronts

Scientific paper

We present a rigorous theory of magnetohydrodynamical shock waves in the framework of a given curved space-time, under general assumptions corresponding both to a plasma and to a condensed medium. The results can be of use in astrophysics. We prove the timelike character of the wavefronts, the main thermodynamic inequalities, the relative location of the speeds of the shock waves with respect to the magnetosonic and Alfven speeds, and show some existence and uniqueness theorems. In particular, we show that there can exist initial states giving slow shocks, but no weak shocks.

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