SEMI-HYPERBOLIC PATCHES OF SOLUTIONS TO THE TWO-DIMENSIONAL COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS.

We construct semi-hyperbolic patches of solutions, in which one family out of two families of wave characteristics start on sonic curves and end on transonic shock waves, to the two-dimensional (2D) compressible magnetohydrodynamic (MHD) equations. This type of ow patches appear frequently in transonic ow problems. In order to use the method of characteristic decomposition to construct such a ow patch, we also derive a group of characteristic decompositions for 2D self-similar MHD equations. [ABSTRACT FROM AUTHOR]