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.
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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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

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