Displaying similar documents to “Solution of a linear model of a single-piston pump by means of methods for differential equations in Hilbert spaces”

Small time-periodic solutions of equations of magnetohydrodynamics as a singularly perturbed problem

Milan Štědrý, Otto Vejvoda (1983)

Aplikace matematiky

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This paper deals with a system of equations describing the motion of viscous electrically conducting incompressible fluid in a bounded three dimensional domain whose boundary is perfectly conducting. The displacement current appearing in Maxwell’s equations, ϵ E t is not neglected. It is proved that for a small periodic force and small positive there exists a locally unique periodic solution of the investigated system. For ϵ → 0 , these solutions are shown to convergeto a solution of the simplified...

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.