Some methodical remarks concerning the flow around arbitrary profiles

Ilja Černý

Aplikace matematiky (1982)

  • Volume: 27, Issue: 4, page 251-258
  • ISSN: 0862-7940

Abstract

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Two well known definitions of the flow of a plane vector field around the boundary of a region Ω are compared. The definition (appropriately arranged) based on the constantness of the stream function on every profile is not only invariant under conformal mappings but more general than the definition based on the vanishing of the normal component of the field on Ω .

How to cite

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Černý, Ilja. "Some methodical remarks concerning the flow around arbitrary profiles." Aplikace matematiky 27.4 (1982): 251-258. <http://eudml.org/doc/15246>.

@article{Černý1982,
abstract = {Two well known definitions of the flow of a plane vector field around the boundary of a region $\Omega $ are compared. The definition (appropriately arranged) based on the constantness of the stream function on every profile is not only invariant under conformal mappings but more general than the definition based on the vanishing of the normal component of the field on $\partial \Omega $.},
author = {Černý, Ilja},
journal = {Aplikace matematiky},
keywords = {flow of plane vector field around boundary of region; conformal mappings; flow of plane vector field around boundary of region; conformal mappings},
language = {eng},
number = {4},
pages = {251-258},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some methodical remarks concerning the flow around arbitrary profiles},
url = {http://eudml.org/doc/15246},
volume = {27},
year = {1982},
}

TY - JOUR
AU - Černý, Ilja
TI - Some methodical remarks concerning the flow around arbitrary profiles
JO - Aplikace matematiky
PY - 1982
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 27
IS - 4
SP - 251
EP - 258
AB - Two well known definitions of the flow of a plane vector field around the boundary of a region $\Omega $ are compared. The definition (appropriately arranged) based on the constantness of the stream function on every profile is not only invariant under conformal mappings but more general than the definition based on the vanishing of the normal component of the field on $\partial \Omega $.
LA - eng
KW - flow of plane vector field around boundary of region; conformal mappings; flow of plane vector field around boundary of region; conformal mappings
UR - http://eudml.org/doc/15246
ER -

References

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  1. R. B. Burckel, An Introduction to Classical Complex Analysis, Birkhäuser Verlag, Basel und Stuttgart, 1979. (1979) Zbl0434.30002
  2. Г. M. Голузин, Геометрическая теория функций комплексного переменного, Москва-Ленинград, 1952. (1952) Zbl1145.11324
  3. K. Kuratowski, Topologie II, Warszawa, 1952. (1952) 
  4. S. Saks A. Zygmund, Analytic Functions, Warszawa-Wroclaw, 1952. (1952) Zbl0048.30803MR0055432
  5. I. Černý, Analysis in the Complex Domain, (Czech, to appear in 1983). (1983) MR0729313
  6. I. Černý, Fundaments of Analysis in the Complex Domain, (Czech), Praha 1967. (1967) 

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