Mathematical study of rotational incompressible non-viscous flows through multiply connected domains

Miloslav Feistauer

Aplikace matematiky (1981)

  • Volume: 26, Issue: 5, page 345-364
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Feistauer, Miloslav. "Mathematical study of rotational incompressible non-viscous flows through multiply connected domains." Aplikace matematiky 26.5 (1981): 345-364. <http://eudml.org/doc/15206>.

@article{Feistauer1981,
abstract = {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.},
author = {Feistauer, Miloslav},
journal = {Aplikace matematiky},
keywords = {multiply connected; bounded plane domain; Dirichlet boundary value conditions; trailing conditions; groups of profiles or cascades of profiles; multiply connected, bounded plane domain; Dirichlet boundary value conditions; trailing conditions; groups of profiles or cascades of profiles},
language = {eng},
number = {5},
pages = {345-364},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Mathematical study of rotational incompressible non-viscous flows through multiply connected domains},
url = {http://eudml.org/doc/15206},
volume = {26},
year = {1981},
}

TY - JOUR
AU - Feistauer, Miloslav
TI - Mathematical study of rotational incompressible non-viscous flows through multiply connected domains
JO - Aplikace matematiky
PY - 1981
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 26
IS - 5
SP - 345
EP - 364
AB - 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.
LA - eng
KW - multiply connected; bounded plane domain; Dirichlet boundary value conditions; trailing conditions; groups of profiles or cascades of profiles; multiply connected, bounded plane domain; Dirichlet boundary value conditions; trailing conditions; groups of profiles or cascades of profiles
UR - http://eudml.org/doc/15206
ER -

References

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  2. L. Bers F. John M. Schechter, Partial differential equations, Interscience publishers, New York-London -Sydney, 1964. (1964) MR0163043
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  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. (1979) Zbl0399.35032MR0512557
  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. (1970) Zbl1170.92319
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  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. (1963) 
  11. О. А. Ладыженская H. H. Уралъцева, Линейные и квазилинейные уравнения эллиптического типа, Наука, Москва, 1973. (1973) Zbl1221.53041
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  13. E. Martensen, Berechnung der Druckverteilung an Gitterprofilen in ebener Potentialströmung mit einer Fredholmschen Integralgleichung, Arch. Rat. Mech. Anal. 3 (1959), 253-270. (1959) Zbl0204.25603MR0114431
  14. В. В. Рагулин, Об одной постановке задачи протекания идеальной жидкости, Сборник ,,Некоторые проблемы математики и механики", Динамика сплошной среды, вып. 33, Новосибирск, 1978. (1978) Zbl1130.91322
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