Abstract
The stability of plane magnetohydrodynamic shock waves in a collisionless strongly magnetised plasma (described by Chew, Goldberger and Low equations) is studied. Stability results are obtained for the special cases of parallel and transversal fast shock waves by the test of fulfilment of the uniform Lopatinsky condition for corresponding linear stability problems. It is shown that fast parallel shock waves are always stable. The stability domain for fast transversal shock waves is found.
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