Exact solutions of the axially symmetric Euler equations. (English. Russian original) Zbl 0922.76092
J. Appl. Math. Mech. 60, No. 3, 433-437 (1996); translation from Prikl. Mat. Mekh. 60, No. 3, 438-442 (1996).
Summary: New classes of exact solutions of Euler’s equations are found, which describe steady axially symmetric flow with a vortex. Examples of solutions corresponding to fluid flows with a free boundary are given.
MSC:
| 76B47 | Vortex flows for incompressible inviscid fluids |
| 35Q35 | PDEs in connection with fluid mechanics |
References:
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| [3] | Ovsyannikov, L. V., Group-theoretic Properties of Differential Equations (1962), Izd. Sibirsk. Otdel. Akad. Nauk SSSR: Izd. Sibirsk. Otdel. Akad. Nauk SSSR Novosibirsk |
| [4] | Nalimov, V. I.; Pukhnachev, V. I., Unsteady Motions of an Ideal Fluid with Free Boundary (1975), Izd. Novosib. Gos. Univ: Izd. Novosib. Gos. Univ Novosibirsk |
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| [6] | Ovsyannikov, L. V., Group-theoretic Analysis of Differential Equations (1978), Nauka: Nauka Moscow · Zbl 0484.58001 |
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