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Title: On two-dimensional and three dimensional axially-symmetric rotational flows of an ideal incompressible fluid (English)
Author: Feistauer, Miloslav
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 22
Issue: 3
Year: 1977
Pages: 199-214
Summary lang: English
Summary lang: Czech
Summary lang: Russian
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Category: math
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Summary: 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. ()
MSC: 35A05
MSC: 76B47
MSC: 76U05
idZBL: Zbl 0373.76022
idMR: MR0436748
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Date available: 2008-05-20T18:07:11Z
Last updated: 2015-07-15
Stable URL: http://hdl.handle.net/10338.dmlcz/103693
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Reference: [1] R. W. Carrol: Abstract methods in partial differential equations.Harper, Row Publishers, New York, 1968. MR 0433480
Reference: [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. Zbl 0221.65184, MR 0286370
Reference: [3] M. Feistauer J. Polášek: The calculation of axially-symmetric stream fields.Proceedings of the Hydro-Turbo Conference 74, Luhačovice 1974 (in Czech).
Reference: [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).
Reference: [5] O. John J. Nečas: The equations of mathematical physics.SPN Prague, 1972 (in Czech).
Reference: [6] J. Nečas: Les méthodes directes en théorie des équations elliptiques.Academia, Prague, 1967. MR 0227584
Reference: [7] M. M. Вайнберг: Вариационный метод и метод монотонных операторов.Наука, Москва, 1972. Zbl 1156.34335
Reference: [8] И. H. Векуа: Обобщенные аналитические функции.Москва, 1959. Zbl 1047.90504
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