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.


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