Geodesic
On solving the potential equation
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 14 (2008) no. 1, pp. 130-145 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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L. I. Rubina; O. N. Ul'yanov. On solving the potential equation. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 14 (2008) no. 1, pp. 130-145. http://geodesic.mathdoc.fr/item/TIMM_2008_14_1_a10/

[1] Rubina L. I., “Metod postroeniya linii urovnya dlya polucheniya tochnykh reshenii nelineinykh uravnenii v chastnykh proizvodnykh”, Aktualnye problemy prikladnoi matematiki i mekhaniki, Tez. dokl. konf. Abrau-Dyurso, 2004, 89–90

[2] Mizes R., Matematicheskaya teoriya techenii szhimaemoi zhidkosti, Inostr. lit., M., 1961 | MR

[3] Kurant P., Uravneniya s chastnymi proizvodnymi, Mir, M., 1964 | MR

[4] Rubina L. I., “O rasprostranenii slabykh razryvov dlya kvazilineinykh sistem”, Prikl. matematika i mekhanika, 36:3 (1972), 435–443 | MR | Zbl

[5] Pontryagin L. S., Obyknovennye differentsialnye uravneniya, Nauka, M., 1974 | MR

[6] Zaitsev V. F., Polyanin A. D., Spravochnik po obyknovennym differentsialnym uravneniyam, Fizmatlit, M., 2001 | MR | Zbl

[7] Kamke E., Spravochnik po obyknovennym differentsialnym uravneniyam, Nauka, M., 1965 | MR