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On the non-uniform propagation of weak discontinuities in magnetogasdynamics

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References

  1. Thomas, T. Y., Extended compatibility conditions for the study of surfaces of discontinuity in continuum mechanics. J. Math. Mech. 6, 311–322 (1957).

    Google Scholar 

  2. Varley, E., & E. Cumberbatch, Non-linear theory of wave-front propagation. J. Inst. Math. Appl. 1, 101–112 (1965).

    Google Scholar 

  3. 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).

    Google Scholar 

  4. Nariboli, G. A., & B. G. Secrest, Weak discontinuities in magnetogasdynamics in the presence of dissipative mechanisms. Tensor (N.S.) 18, 22–25 (1967).

    Google Scholar 

  5. Pai, S. I., Magnetogasdynamics and plasma dynamics. Prentice-Hall, Inc. New York, 1962.

    Google Scholar 

  6. Thomas, T. Y., The growth and decay of sonic discontinuities in ideal gases. J. Math. Mech. 6, 455–469 (1957).

    Google Scholar 

  7. Kaul, C. N., On the singular surfaces of order one in ideal gases. J. Math. Mech. 10, (1961).

  8. Kaul, C. N., Singular surfaces of order one in magnetogasdynamics. Appl. Sci. Research 11(B), 382–390 (1963).

    Google Scholar 

  9. Nariboli, G. A., The propagation and growth of sonic discontinuities in magnetohydrodynamics. J. Math. Mech. 12 (1963).

  10. Shankar, R., & P. Chandran, Growth and decay of sonic discontinuities in nonequilibrium gasdynamics, J. Math. Phys. Sci. 11, 237–246 (1977).

    Google Scholar 

  11. Srinivasan, S., & R. Ram, The growth and decay of sonic waves in a radiating gas at high temperature. ZAMP 26, 307–314 (1975).

    Google Scholar 

  12. Landau, L. D., & E. M. Lifshitz, Fluid Mechanics. London: Pergamon Press, (1959).

    Google Scholar 

  13. Lighthill, M. J., Studies in magnetohydrodynamic waves and other anisotropic wave motions. Phil. Trans. Royal Soc. 252 A (1960).

  14. Ludwig, D. A., The singularities of the Riemann function. A.E.C. report New York (1961) NYO-9351.

  15. Duff, G. F. D., On wave-fronts and boundary waves. Comm. Pure and Appl. Math. 17 (1964).

  16. Luneberg, R. K., Mathematical Theory of Optics. Berkeley: California Press, 1964.

    Google Scholar 

  17. Bazer, J., & O. Fleischman, Propagation of weak hydromagnetic discontinuities. The Phys. Fluids 2, 366–378 (1959).

    Article  MATH  Google Scholar 

  18. 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).

    Google Scholar 

  19. Nariboli, G. A., & M. P. Rangarao, Wave propagation in magnetogasdynamics. J. Math. Phys. Sci., 14, 302–313 (1967).

    Google Scholar 

  20. Upadhyay, K. S., Propagation of weak discontinuity through thermally conducting gases. Tensor (N.S.) 21, 296–300 (1970).

    Google Scholar 

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Communicated by J. Serrin

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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

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