| 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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