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Existence of solutions to A. N. Krajko’s problem. (English. Russian original) Zbl 0958.76077

Prikl. Mekh. Tekh. Fiz. 41, No. 3, 48-55 (2000); translation in J. Appl. Mech. Tech. Phys. 41, No. 3, 421-428 (2000).
The author considers initial-boundary value problems for plane, cylindrical, and spherical layers of ideal gas. An iterative solution of these problems provides a solution to Krajko’s problem on the isentropic transition of ideal gas from a homogeneous state of rest to another state of rest with higher or lower density. The author also proves the existence of locally analytic solutions.

MSC:

76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
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