On solving the potential equation

On solving the potential equation

We consider planar nonstationary potential flows of polytropic gas. The corresponding partial differential equation is studied by the method of level surfaces. Sufficient conditions on the arbitrary functions providing the construction of exact solutions of the potential equation are obtained. Equat...

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Veröffentlicht in:Proceedings of the Steklov Institute of Mathematics 2008-07, Vol.261 (Suppl 1), p.183-200
Hauptverfasser: Rubina, L. I., Ul’yanov, O. N.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:We consider planar nonstationary potential flows of polytropic gas. The corresponding partial differential equation is studied by the method of level surfaces. Sufficient conditions on the arbitrary functions providing the construction of exact solutions of the potential equation are obtained. Equations for shock waves separating the potential flow from the rest area or from the area of motion with constant velocity are written out.
ISSN:0081-5438
1531-8605
DOI:10.1134/S0081543808050167