Displaying similar documents to “On two-dimensional and three dimensional axially-symmetric rotational flows of an ideal incompressible fluid”

Solution of elliptic problem with not fully specified Dirichlet boundary value conditions and its application in hydrodynamics

Miloslav Feistauer (1979)

Aplikace matematiky

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The author solves a mixed boundary value problem for linear partial differential equations of the elliptic type in a multiply connected domain. Dirichlet conditions are given on the components of the boundary of the domain up to some additive constants which are not known a priori. These constants are to be determined, together with the solution of the boundary value problem, to fulfil some additional conditions. The results are immediately applicable in hydrodynamics to the solution...

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.