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Title: Some methodical remarks concerning the flow around arbitrary profiles (English)
Author: Černý, Ilja
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 27
Issue: 4
Year: 1982
Pages: 251-258
Summary lang: English
Summary lang: Czech
Summary lang: Russian
Category: math
Summary: 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 $\partial \Omega$. (English)
Keyword: flow of plane vector field around boundary of region
Keyword: conformal mappings
MSC: 30C35
MSC: 76B10
MSC: 76B99
idZBL: Zbl 0496.76010
idMR: MR0666904
Date available: 2008-05-20T18:19:35Z
Last updated: 2015-07-08
Stable URL:
Reference: [1] R. B. Burckel: An Introduction to Classical Complex Analysis.Birkhäuser Verlag, Basel und Stuttgart, 1979. Zbl 0434.30002
Reference: [2] Г. M. Голузин: Геометрическая теория функций комплексного переменного.Москва-Ленинград, 1952. Zbl 1145.11324
Reference: [3] K. Kuratowski: Topologie II.Warszawa, 1952.
Reference: [4] S. Saks A. Zygmund: Analytic Functions.Warszawa-Wroclaw, 1952. MR 0055432
Reference: [5] I. Černý: Analysis in the Complex Domain.(Czech, to appear in 1983). MR 0729313
Reference: [6] I. Černý: Fundaments of Analysis in the Complex Domain.(Czech), Praha 1967.


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