Abstract
This paper gives a solution of the problem of the propagation of weak shock waves in an inhomogeneous conducting medium in the presence of a magnetic field. The width of the perturbed region is taken to be small compared with the characteristic dimensions of the problem. The magnetic Reynolds number is also assumed small, which allows one to neglect the induced magnetic field. The method of solution employed is similar to that used in [1–3],
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References
I. B. Keller, “Geometrical acoustics. I. The theory of weak shock waves,” J. Appl. Phys., vol. 25, no. 8, 1954.
K. E. Gubkin, “The propagation of discontinuities in sound waves,” PMM, 22, 4, 1958.
O. S. Ryzhov, “The damping of shock waves in inhomogeneous media,” PMTF, no. 2, 1961.
Shih-i Pai, Magnetogasdynamics and Plasma Dynamics [Russian translation], Izd. Mir, 1964.
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The author is grateful to B. I. Zaslavskii for useful advice and for discussing the paper.
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Lugovtsov, A.A. Propagation of weak shock waves in a magnetic field. J Appl Mech Tech Phys 7, 59–61 (1966). https://doi.org/10.1007/BF00917659
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DOI: https://doi.org/10.1007/BF00917659