References
Thomas, T. Y., Extended compatibility conditions for the study of surfaces of discontinuity in continuum mechanics. J. Math. Mech. 6, 311–322 (1957).
Varley, E., & E. Cumberbatch, Non-linear theory of wave-front propagation. J. Inst. Math. Appl. 1, 101–112 (1965).
Elcrat, A. R., On the propagation of sonic discontinuities in the unsteady flow of a perfect gas. Int. J. Engng. Sci. 15, 29–35 (1977).
Nariboli, G. A., & B. G. Secrest, Weak discontinuities in magnetogasdynamics in the presence of dissipative mechanisms. Tensor (N.S.) 18, 22–25 (1967).
Pai, S. I., Magnetogasdynamics and plasma dynamics. Prentice-Hall, Inc. New York, 1962.
Thomas, T. Y., The growth and decay of sonic discontinuities in ideal gases. J. Math. Mech. 6, 455–469 (1957).
Kaul, C. N., On the singular surfaces of order one in ideal gases. J. Math. Mech. 10, (1961).
Kaul, C. N., Singular surfaces of order one in magnetogasdynamics. Appl. Sci. Research 11(B), 382–390 (1963).
Nariboli, G. A., The propagation and growth of sonic discontinuities in magnetohydrodynamics. J. Math. Mech. 12 (1963).
Shankar, R., & P. Chandran, Growth and decay of sonic discontinuities in nonequilibrium gasdynamics, J. Math. Phys. Sci. 11, 237–246 (1977).
Srinivasan, S., & R. Ram, The growth and decay of sonic waves in a radiating gas at high temperature. ZAMP 26, 307–314 (1975).
Landau, L. D., & E. M. Lifshitz, Fluid Mechanics. London: Pergamon Press, (1959).
Lighthill, M. J., Studies in magnetohydrodynamic waves and other anisotropic wave motions. Phil. Trans. Royal Soc. 252 A (1960).
Ludwig, D. A., The singularities of the Riemann function. A.E.C. report New York (1961) NYO-9351.
Duff, G. F. D., On wave-fronts and boundary waves. Comm. Pure and Appl. Math. 17 (1964).
Luneberg, R. K., Mathematical Theory of Optics. Berkeley: California Press, 1964.
Bazer, J., & O. Fleischman, Propagation of weak hydromagnetic discontinuities. The Phys. Fluids 2, 366–378 (1959).
Nariboli, G. A., Singh, S. N., & M. P. Rangarao, Growth of weak discontinuities in arbitrary moving gas. Proc. Indian Acad. Sci., 68(A), 149–163 (1968).
Nariboli, G. A., & M. P. Rangarao, Wave propagation in magnetogasdynamics. J. Math. Phys. Sci., 14, 302–313 (1967).
Upadhyay, K. S., Propagation of weak discontinuity through thermally conducting gases. Tensor (N.S.) 21, 296–300 (1970).
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Shankar, R., Prasad, M. On the non-uniform propagation of weak discontinuities in magnetogasdynamics. Arch. Rational Mech. Anal. 75, 169–174 (1981). https://doi.org/10.1007/BF00250478
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DOI: https://doi.org/10.1007/BF00250478