Geodesic
On irrotational flows through cascades of profiles in a layer of variable thickness
Applications of Mathematics, Tome 29 (1984) no. 6, pp. 423-458.

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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.
DOI : 10.21136/AM.1984.104116
Classification : 35Q99, 49J20, 76B05, 76G25
Keywords: solvability; boundary value problems; non-viscous; irrotational, subsonic flows; cascades of profiles; layer of variable thickness; classical solution; variational formulation; weak solution; existence; uniqueness; monotone operator theory 
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     title = {On irrotational flows through cascades of profiles in a layer of variable thickness},
     journal = {Applications of Mathematics},
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Feistauer, Miloslav. On irrotational flows through cascades of profiles in a layer of variable thickness. Applications of Mathematics, Tome 29 (1984) no. 6, pp. 423-458. doi : 10.21136/AM.1984.104116. http://geodesic.mathdoc.fr/articles/10.21136/AM.1984.104116/

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