| 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 |
| . |
| Category:
|
math |
| . |
| 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 |
| DOI:
|
10.21136/AM.1977.103693 |
| . |
| Date available:
|
2008-05-20T18:07:11Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103693 |
| . |
| 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 |
| . |
