Shock waves in relativistic magnetohydrodynamics under general assumptions

Journal Article · Wed Dec 01 04:00:00 EST 1976 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.522857· OSTI ID:7250629

Lichnerowicz, A

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. (AIP)

• Research Organization: College de France, Paris, France
• OSTI ID: 7250629
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 17:12; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

640100 -- Astrophysics & Cosmology
640430* -- Fluid Physics-- Magnetohydrodynamics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ALFVEN WAVES
ASTROPHYSICS
FIELD THEORIES
FLUID MECHANICS
GENERAL RELATIVITY THEORY
HYDRODYNAMICS
HYDROMAGNETIC WAVES
MAGNETOHYDRODYNAMICS
MECHANICS
METRICS
SHOCK WAVES