On two-dimensional and three dimensional axially-symmetric rotational flows of an ideal incompressible fluid
Miloslav Feistauer (1977)
Aplikace matematiky
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Miloslav Feistauer (1977)
Aplikace matematiky
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Miloslav Feistauer (1984)
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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.
Jan Franců (1990)
Aplikace matematiky
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The paper deals with the existence of solutions of the form with operators monotone in a broader sense, including pseudomonotone operators and operators satisfying conditions and . The first part of the paper which has a methodical character is concluded by the proof of an existence theorem for the equation on a reflexive separable Banach space with a bounded demicontinuous coercive operator satisfying condition . The second part which has a character of a survey compares various...