Other
Scientific paper
Mar 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975anihp..22....1c&link_type=abstract
Institut Henri Poincare, Annales, Section A - Physique Theorique, vol. 22, Jan. 1-Mar. 15, 1975, p. 1-27. In French.
Other
3
Anisotropic Fluids, Flow Geometry, Magnetoacoustic Waves, Magnetohydrodynamic Waves, Relativistic Plasmas, Wave Propagation, Discontinuity, Entropy, Mathematical Models, Propagation Velocity, Tensor Analysis, Thermodynamic Properties, Wave Equations
Scientific paper
The current work is devoted to a relativistic study of the flow diagram of an infinitely conductive, nondissipative, anisotropic fluid. In the first section of the paper, the fundamental system of relativistic anisotropic magnetohydrodynamics is deduced from such a flow diagram; in addition, a mathematical study of this system is conducted for the case of a polytropic model of an anisotropic fluid. The second section of the work investigates the types of waves in this fluid model and the nature of their propagation. Three wave types are found: entropy waves, magnetosonic waves, and Alfven waves. The propagation velocities of the Alfven and magnetosonic waves are compared to each other. Studying null cones has elucidated (1) certain singularities in the propagation of waves in anisotropic magnetohydrodynamics and (2) the hyperbolic character of the differential operators associated with different waves.
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