# Article

 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: http://hdl.handle.net/10338.dmlcz/103970 . 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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