The M.H.D. version of a theorem of H. Weyl

Conley, Charles C.; Smoller, Joel A.

doi:10.1090/S0002-9939-1974-0327144-1

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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The M.H.D. version of a theorem of H. Weyl
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by Charles C. Conley and Joel A. Smoller PDF

Proc. Amer. Math. Soc. 42 (1974), 248-250 Request permission

Abstract:

In his discussion of shock waves in arbitrary fluids, H. Weyl proves a theorem concerning the behavior of the entropy function along the Hugoniot curve. The analogous result is proven for the M.H.D. case.

References

Theoretical magnetohydrodynamics

R. Courant and K. O. Friedrichs, Supersonic Flow and Shock Waves, Interscience Publishers, Inc., New York, N. Y., 1948. MR 0029615
Hermann Weyl, Shock waves in arbitrary fluids, Comm. Pure Appl. Math. 2 (1949), 103–122. MR 34677, DOI 10.1002/cpa.3160020201