Abstract

By applying compatibility conditions of Thomas for surfaces of discontinuity in continuum mechanics, the singular surfaces of first and second order which may occur in the theory of hydromagnetics are discussed. It is shown that first order singular surfaces are of two types; Alfven waves and contact type of discontinuities. The singular surfaces of second order turn out to be similar to singular surfaces of first order. An expression is obtained for the variation of the ‘strength’ of the Alfven wave as it propagates in a fluid at rest under constant pressure and magnetic field. It is shown that under certain conditions the strength of the Alfven wave as it propagates does not vary.

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