Geodesic
On two-dimensional and three dimensional axially-symmetric rotational flows of an ideal incompressible fluid
Applications of Mathematics, Tome 22 (1977) no. 3, pp. 199-214
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Yhe problem mentioned in the title is studied with help of the stream function and transformed to the boundary value problem for a quasilinear equation. The existence of the solution is proved and the problem of the uniqueness of the solution is discussed.
Yhe problem mentioned in the title is studied with help of the stream function and transformed to the boundary value problem for a quasilinear equation. The existence of the solution is proved and the problem of the uniqueness of the solution is discussed.
DOI : 10.21136/AM.1977.103693
Classification : 35A05, 76B47, 76U05 
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Feistauer, Miloslav. On two-dimensional and three dimensional axially-symmetric rotational flows of an ideal incompressible fluid. Applications of Mathematics, Tome 22 (1977) no. 3, pp. 199-214. doi: 10.21136/AM.1977.103693

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[2] M. Feistauer: Some cases of numerical solution of differential equations describing the vortex-flow through three-dimensional axially-symmetric channels. Apl. mat. 16 (1971), No 4, 265-288. | MR | Zbl

[3] M. Feistauer J. Polášek: The calculation of axially-symmetric stream fields. Proceedings of the Hydro-Turbo Conference 74, Luhačovice 1974 (in Czech).

[4] M. Feistauer: The calculation of some types of stream fields in the model of a unified outlet. Technical research report Tp VZ 11/74, ŠKODA Plzeň, 1974 (in Czech).

[5] O. John J. Nečas: The equations of mathematical physics. SPN Prague, 1972 (in Czech).

[6] J. Nečas: Les méthodes directes en théorie des équations elliptiques. Academia, Prague, 1967. | MR

[7] M. M. Вайнберг: Вариационный метод и метод монотонных операторов. Наука, Москва, 1972. | Zbl

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