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

Miloslav Feistauer

Aplikace matematiky (1984)

  • Volume: 29, Issue: 6, page 423-458
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Feistauer, Miloslav. "On irrotational flows through cascades of profiles in a layer of variable thickness." Aplikace matematiky 29.6 (1984): 423-458. <http://eudml.org/doc/15376>.

@article{Feistauer1984,
abstract = {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.},
author = {Feistauer, Miloslav},
journal = {Aplikace matematiky},
keywords = {solvability; boundary value problems; non-viscous; irrotational; subsonic flows; cascades of profiles; layer of variable thickness; classical solution; variational formulation; weak solution; existence; uniqueness; monotone operator theory; solvability; boundary value problems; non-viscous, irrotational, subsonic flows; cascades of profiles; layer of variable thickness; classical solution; variational formulation; weak solution; existence; uniqueness; monotone operator theory},
language = {eng},
number = {6},
pages = {423-458},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On irrotational flows through cascades of profiles in a layer of variable thickness},
url = {http://eudml.org/doc/15376},
volume = {29},
year = {1984},
}

TY - JOUR
AU - Feistauer, Miloslav
TI - On irrotational flows through cascades of profiles in a layer of variable thickness
JO - Aplikace matematiky
PY - 1984
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 29
IS - 6
SP - 423
EP - 458
AB - 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.
LA - eng
KW - solvability; boundary value problems; non-viscous; irrotational; subsonic flows; cascades of profiles; layer of variable thickness; classical solution; variational formulation; weak solution; existence; uniqueness; monotone operator theory; solvability; boundary value problems; non-viscous, irrotational, subsonic flows; cascades of profiles; layer of variable thickness; classical solution; variational formulation; weak solution; existence; uniqueness; monotone operator theory
UR - http://eudml.org/doc/15376
ER -

References

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Citations in EuDML Documents

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  1. Miloslav Feistauer, Jiří Felcman, Zdeněk Vlášek, Finite element solution of flows through cascades of profiles in a layer of variable thickness
  2. Miloslav Feistauer, Nonlinear elliptic problems with incomplete Dirichlet conditions and the stream function solution of subsonic rotational flows past profiles or cascades of profiles
  3. Miloslav Feistauer, Veronika Sobotíková, Finite element approximation of nonlinear elliptic problems with discontinuous coefficients

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