Propagation of Weak Hydromagnetic Discontinuities

Cover Propagation of Weak Hydromagnetic Discontinuities
Propagation of Weak Hydromagnetic Discontinuities
Jack Bazer
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o» g' t4 i g 1 % a ^ s ti l4 s a 3 M "*~ ~*~ - 12 - upper sign belongs to a propagation with a component along n, the lower sign along -n. Thus each of the first three colunms lists six mutually orthogonal propagating modes.
Assuming that n is neither parallel nor perpendicular to H, we have collected in column (l) all wave-mode solutions of (2. 8)-(2. 10). The re- maining columns, (2)- (4), list solutions corresponding to other orientations of n with respect to H. Ihese solutions may he obtai
...ned from the correspond- ing solutions in column (l) by carrying out various sorts of limiting processes. Thus, assuming r ^ 1, the solutions in boxes (1, 2) and (3, 5) may be obtained simply by rotating n into H. The solution for r = 1 in box (3, 3) may then be obtained by replacing € by e/(r~ -l) and then letting r approach unity. ^"^ However the solutions of columns (2)-(4) are derived, it is easy to verify directly that they satisfy the basic discontinuity relations (2.

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