Displaying similar documents to “Some cases of numerical solution of differential equations describing the vortex-flow through three-dimensional axially symmetric channels”

Mathematical study of rotational incompressible non-viscous flows through multiply connected domains

Miloslav Feistauer (1981)

Aplikace matematiky

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The paper is devoted to the study of the boundary value problem for an elliptic quasilinear second-order partial differential equation in a multiply connected, bounded plane domain under the assumption that the Dirichlet boundary value conditions on the separate components of the boundary are given up to additive constants. These constants together with the solution of the equation considered are to be determined so as to fulfil the so called trainling conditions. The results have immediate...

On irrotational flows through cascades of profiles in a layer of variable thickness

Miloslav Feistauer (1984)

Aplikace matematiky

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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.