Abstract
Two-dimensional polytropic gas flows representable as endless series are constructed as solutions of the corresponding standard characteristic Cauchy problems in the space of self-similar variables. The convergence of the series is proved, and a procedure for constructing the coefficients of the series is described. It is found that in one particular case, the series terminates and coincides with the well-known analytical solution that was used by V. A. Suchkov to describe gas flow along an oblique wall into vacuum and by A. F. Sidorov to describe infinite compression of prismatic gas volumes. It is shown that in the case of compressive flow of the gas, its infinite compression by impermeable pistons moving according to different laws is possible, and the gas-dynamic parameters of the flow are studied. Highly nonuniform pressure distribution during compression of prismatic targets is obtained.
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