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Title: On irrotational flows through cascades of profiles in a layer of variable thickness (English)
Author: Feistauer, Miloslav
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 29
Issue: 6
Year: 1984
Pages: 423-458
Summary lang: English
Summary lang: Czech
Summary lang: Russian
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Category: math
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Summary: The paper is devoted to the study of solvability of boundary value problems for the stream function, describing non-viscous, irrotional, subsonic flowes through cascades of profiles in a layer of variable thickness. From the definition of a classical solution the variational formulation is derive and the concept of a weak solution is introduced. The proof of the existence and uniqueness of the weak solution is based on the monotone operator theory. (English)
Keyword: solvability
Keyword: boundary value problems
Keyword: non-viscous
Keyword: irrotational, subsonic flows
Keyword: cascades of profiles
Keyword: layer of variable thickness
Keyword: classical solution
Keyword: variational formulation
Keyword: weak solution
Keyword: existence; uniqueness
Keyword: monotone operator theory
MSC: 35Q99
MSC: 49J20
MSC: 76B05
MSC: 76G25
idZBL: Zbl 0598.76061
idMR: MR0767495
DOI: 10.21136/AM.1984.104116
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Date available: 2008-05-20T18:26:14Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/104116
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