Physics – Plasma Physics
Scientific paper
Mar 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982jpha...15.1029s&link_type=abstract
Journal of Physics A - Mathematical and General, vol. 15, Mar. 1982, p. 1029-1040.
Physics
Plasma Physics
High Temperature Plasmas, Magnetoplasmadynamics, Relativistic Plasmas, Shock Discontinuity, Stellar Magnetic Fields, Compression Waves, Cosmic Plasma, Hyperspaces, Magnetohydrodynamic Waves, Plasma Physics, Propagation Modes, Radiation Pressure, Shock Wave Interaction, Shock Wave Propagation, Wave Propagation, Weak Energy Interactions
Scientific paper
The problem of growth and decay of weak waves in relativistic hot plasma in intense magnetic fields is investigated by using the singular surface theory, and the amplitude of the critical stage is determined when the weak wave breaks down and a shock wave forms due to nonlinear steepening. The weak wave or weak discontinuity is studied in the form of a time-like singular hypersurface across which flow parameters are continuous except for their first and higher partial derivatives which undergo finite jumps at the surface. Modes of propagation are analyzed using compatibility conditions for the jumps of inner parts of equations governing the motion of a relativistic thermodynamically perfect radiating magnetofluid of infinite electrical conductivity with a constant magnetic permeability. The effects of wave geometry on the global behavior of the amplitude are also examined.
Ram R.
Singh H. N.
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