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The onset of shock wave in an electrically conducting and radiating gas. (English) Zbl 0565.76063

The present work applies the method of characteristics to study the behaviour of planar and cylindrical wave-heads propagating through a perfectly electrically conducting and thermally radiating inviscid gas under the optically thin limit in the presence of a transverse magnetic field.

MSC:

76L05 Shock waves and blast waves in fluid mechanics
76W05 Magnetohydrodynamics and electrohydrodynamics
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References:

[1] Cabannes, H.: 1970,Theoretical Magnetofluiddynamics, Academic Press, New York.
[2] Jeffrey, A. and Taniuti, T.: 1964,Nonlinear Wave Propagation, Academic Press, New York.
[3] Lustman, L. and Geffen, N.: 1979,Z. Appl. Math. Phys. 30, 637. · Zbl 0405.76075 · doi:10.1007/BF01590841
[4] Menon, V. V. and Sharma, V. D.: 1981,J. Math. Anal. Appl. 81, 189. · Zbl 0467.76102 · doi:10.1016/0022-247X(81)90057-3
[5] Sharma, V. D.: 1981,Phys. Fluids 24, 1386. · doi:10.1063/1.863544
[6] Sharma, V. D. and Shyam, R.: 1981,Acta Astron. 8, 31. · Zbl 0452.76053 · doi:10.1016/0094-5765(81)90024-2
[7] Shyam, R., Sharma, V. D., and Menon, V. V.: 1981,AIAA J. 19, 410. · Zbl 0513.76059 · doi:10.2514/3.7784
[8] Spitzer, L., Jr.: 1962,Physics of Fully Ionized Gases, Wiley, New York.
[9] Weinberg, S.: 1971,Astrophys. J. 168, 175. · doi:10.1086/151073
[10] Zeldovich, Ya. B. and Novikov, I.: 1971,Relativistic Astrophysics, University of Chicago Press, Chicago, p. 200.
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