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On irrotational flows through cascades of profiles in a layer of variable thickness. (English) Zbl 0598.76061
The paper is devoted to the study of solvability of boundary value problems for the stream function, describing non-viscous, irrotational, subsonic flows through cascades of profiles in a layer of variable thickness. From the definition of a classical solution the variational formulation is derived 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.

MSC:
76G25 General aerodynamics and subsonic flows
49J20 Existence theories for optimal control problems involving partial differential equations
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