Group classification of the equations of two-dimensional motions of a gas. (English. Russian original) Zbl 0890.76071
J. Appl. Math. Mech. 58, No. 4, 629-635 (1994); translation from Prikl. Mat. Mekh. 58, No. 4, 56-62 (1994).
Summary: A generalization of the definition of an equivalence group is proposed, and a group classification of a system of equations describing the two-dimensional flows of an ideal gas is given. Plane flows, which were earlier investigated from the group point of view, are a special case of such motions.
MSC:
| 76N15 | Gas dynamics (general theory) |
| 35Q35 | PDEs in connection with fluid mechanics |
| 35A30 | Geometric theory, characteristics, transformations in context of PDEs |
Software:
PODMODELIReferences:
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