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Volume 15,     Number 3,     Fall 2007

 

SIMILARITY SOLUTIONS FOR STRONG
SHOCKS IN MHD
RAJAN ARORA

Abstract. A group theoretic method is used to obtain a class of similarity solutions to the problem of strong shocks in MHD, and to characterize analytically the form of the density of the medium ahead for which the problem is invariant and admits self-similar solutions. The case of power law is recovered as a special case depending on the arbitrary constants occurring in the expression for the generators of the transformation. Numerical calculations have been performed to obtain the similarity exponents and the profiles of the flow variables.

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© 2007, Canadian Applied Mathematics Quarterly (CAMQ)