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The structure of a hydromagnetic shock in steady plane motion

Published online by Cambridge University Press:  28 March 2006

G. S. S. Ludford
Affiliation:
University of Maryland and Harvard University

Abstract

In this paper we discuss the structure of those oblique shocks which occur in plane hydromagnetic flow. We find that not all pairs of states satisfying the shock conditions can be linked by a one-dimensional flow of a viscous, electrically conducting fluid, while other pairs can be linked in more than one way. In the latter case a particular transition is singled out when further information is given concerning the three-dimensional problem of which the plane motion is an idealization.

Type
Research Article
Copyright
© 1959 Cambridge University Press

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References

Burgers, J. 1957 Penetration of a shock wave into a magnetic field. Magnetohydrodynamics (Ed. R. K. M. Landshoff), pp. 3656, Stanford University Press.
Friedrichs, K. O. 1957 Nonlinear wave motion in magnetohydrodynamics. Los Alamos Rep. no. 2105.Google Scholar
Gilbarg, D. 1951 The existence and limit behavior of the one-dimensional shock layer. Amer. J. Math., 73, 256274.Google Scholar
Goldstein, S. 1957 Lectures on fluid mechanics. Proc. Sem. Appl. Math. (A.M.S.), Boulder, Colorado. New York: Interscience (in the Press).
Marshall, W. 1955 The structure of magneto-hydrodynamic shock waves. Proc. Roy. Soc. A, 233, 367376.Google Scholar
Von Mises, R. 1958 Mathematical Theory of Compressible Fluid Flow (completed by Hilda Geiringer and G. S. S. Ludford), pp. 436442. New York: Academic.