| Title:
|
Mathematical study of rotational incompressible non-viscous flows through multiply connected domains (English) |
| Author:
|
Feistauer, Miloslav |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
26 |
| Issue:
|
5 |
| Year:
|
1981 |
| Pages:
|
345-364 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper is devoted to the study of the boundary value problem for an elliptic quasilinear second-order partial differential equation in a multiply connected, bounded plane domain under the assumption that the Dirichlet boundary value conditions on the separate components of the boundary are given up to additive constants. These constants together with the solution of the equation considered are to be determined so as to fulfil the so called trainling conditions. The results have immediate applications in the investigation of the rotational flow round groups of profiles or cascades of profiles. (English) |
| Keyword:
|
multiply connected, bounded plane domain |
| Keyword:
|
Dirichlet boundary value conditions |
| Keyword:
|
trailing conditions |
| Keyword:
|
groups of profiles or cascades of profiles |
| MSC:
|
35J65 |
| MSC:
|
35Q20 |
| MSC:
|
76B10 |
| MSC:
|
76C99 |
| MSC:
|
76U05 |
| idZBL:
|
Zbl 0486.76025 |
| idMR:
|
MR0631753 |
| DOI:
|
10.21136/AM.1981.103924 |
| . |
| Date available:
|
2008-05-20T18:17:30Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103924 |
| . |
| Reference:
|
[1] Г. В. Алексеев: Об исчезающей вязкости в двумерных стационарных задачах гидродинамики несжимаемой жидкости.Динамика сплошной среды, Вып. 10, Новосибирск, 1972. Zbl 1170.01322 |
| Reference:
|
[2] L. Bers F. John M. Schechter: Partial differential equations.Interscience publishers, New York-London -Sydney, 1964. MR 0163043 |
| Reference:
|
[3] R. Courant: Partial differential equations.New York-London, 1962. Zbl 0099.29504 |
| Reference:
|
[4] M. Feistauer: Some cases of numerical solution of differential equations describing the vortex-flow through three-dimensional axially-symmetric channels.Apl. mat. 16 (1971), 265-288. Zbl 0221.65184, MR 0286370 |
| Reference:
|
[5] M. Feistauer J. Polášek: The calculation of axially-symmetric stream fields.Proceedings of the Hydro-Turbo Conference 74, Luhačovice 1974 (in Czech). |
| Reference:
|
[6] M. Feistauer: On two-dimensional and three-dimensional axially symmetric rotational flows of an ideal incompressible fluid.Apl. mat. 22(1977), 199-214. Zbl 0373.76022, MR 0436748 |
| Reference:
|
[7] M. Feistauer: Solution of elliptic problem with not fully specified Dirichlet boundary value conditions and its application in hydrodynamics.Apl. mat. 24 (1979), 67-74. Zbl 0399.35032, MR 0512557 |
| Reference:
|
[8] Б. Г. Гуров: Существование и единственность установившихся непотенциальных течений идеальной жидкости в плоских каналах.Численные методы механики сплошной среды, Том 1, № 3, Новосибирск, 1970. Zbl 1170.92319 |
| Reference:
|
[9] Б. Г. Гуров H. H. Яненко И. К. Яушев: Численный расчет непотенциальных течений идеальной жидкости в плоских каналах.Численные методы механики сплошной среды, Том 2, № 1, Новосибирск, 1971. Zbl 1230.35094 |
| Reference:
|
[10] K. Jacob: Berechnung der inkompressiblen Potentialströmung für Einzel- und Gitterprofile nach einer Variante des Martensens-Verfahrens.Bericht 63 RO 2 der Aerodynamischen Versuchsanstalt Göttingen, 1963. |
| Reference:
|
[11] О. А. Ладыженская H. H. Уралъцева: Линейные и квазилинейные уравнения эллиптического типа.Наука, Москва, 1973. Zbl 1221.53041 |
| Reference:
|
[12] Л. А. Люстерник В. И. Соболев: Элементы функционального анализа.Наука, Москва, 1965. Zbl 1225.00032 |
| Reference:
|
[13] E. Martensen: Berechnung der Druckverteilung an Gitterprofilen in ebener Potentialströmung mit einer Fredholmschen Integralgleichung.Arch. Rat. Mech. Anal. 3 (1959), 253-270. Zbl 0204.25603, MR 0114431 |
| Reference:
|
[14] В. В. Рагулин: Об одной постановке задачи протекания идеальной жидкости.Сборник ,,Некоторые проблемы математики и механики", Динамика сплошной среды, вып. 33, Новосибирск, 1978. Zbl 1130.91322 |
| Reference:
|
[15] J. Polášek Z. Vlášek: Berechnung der ebenen Potentialströmung von rotierenden radialen Profilgittern.Apl. mat. 17 (1972), 295-308. MR 0312808 |
| . |
