Nonlinear elliptic problems with incomplete Dirichlet conditions and the stream function solution of subsonic rotational flows past profiles or cascades of profiles

Miloslav Feistauer

Aplikace matematiky (1989)

  • Volume: 34, Issue: 4, page 318-339
  • ISSN: 0862-7940

Abstract

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The paper is devoted to the solvability of a nonlinear elliptic problem in a plane multiply connected domain. On the inner components of its boundary Dirichlet conditions are known up to additive constants which have to be determined together with the sought solution so that the so-called trailing stagnation conditions are satisfied. The results have applications in the stream function solution of subsonic flows past groups of profiles or cascades of profiles.

How to cite

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Feistauer, Miloslav. "Nonlinear elliptic problems with incomplete Dirichlet conditions and the stream function solution of subsonic rotational flows past profiles or cascades of profiles." Aplikace matematiky 34.4 (1989): 318-339. <http://eudml.org/doc/15586>.

@article{Feistauer1989,
abstract = {The paper is devoted to the solvability of a nonlinear elliptic problem in a plane multiply connected domain. On the inner components of its boundary Dirichlet conditions are known up to additive constants which have to be determined together with the sought solution so that the so-called trailing stagnation conditions are satisfied. The results have applications in the stream function solution of subsonic flows past groups of profiles or cascades of profiles.},
author = {Feistauer, Miloslav},
journal = {Aplikace matematiky},
keywords = {nonviscous rotational flow; Kutta-Joukowsi trailing stagnation condition; maximum principle; solvability of a nonlinear elliptic problem; plane multiply connected domain; Dirichlet conditions; trailing stagnation conditions; cascades of profiles; stream function; nonlinear elliptic problem; apriori estimates; nonviscous rotational flow; Kutta-Joukowsi trailing stagnation condition; maximum principle; solvability of a nonlinear elliptic problem; plane multiply connected domain; Dirichlet conditions; trailing stagnation conditions; cascades of profiles},
language = {eng},
number = {4},
pages = {318-339},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Nonlinear elliptic problems with incomplete Dirichlet conditions and the stream function solution of subsonic rotational flows past profiles or cascades of profiles},
url = {http://eudml.org/doc/15586},
volume = {34},
year = {1989},
}

TY - JOUR
AU - Feistauer, Miloslav
TI - Nonlinear elliptic problems with incomplete Dirichlet conditions and the stream function solution of subsonic rotational flows past profiles or cascades of profiles
JO - Aplikace matematiky
PY - 1989
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 34
IS - 4
SP - 318
EP - 339
AB - The paper is devoted to the solvability of a nonlinear elliptic problem in a plane multiply connected domain. On the inner components of its boundary Dirichlet conditions are known up to additive constants which have to be determined together with the sought solution so that the so-called trailing stagnation conditions are satisfied. The results have applications in the stream function solution of subsonic flows past groups of profiles or cascades of profiles.
LA - eng
KW - nonviscous rotational flow; Kutta-Joukowsi trailing stagnation condition; maximum principle; solvability of a nonlinear elliptic problem; plane multiply connected domain; Dirichlet conditions; trailing stagnation conditions; cascades of profiles; stream function; nonlinear elliptic problem; apriori estimates; nonviscous rotational flow; Kutta-Joukowsi trailing stagnation condition; maximum principle; solvability of a nonlinear elliptic problem; plane multiply connected domain; Dirichlet conditions; trailing stagnation conditions; cascades of profiles
UR - http://eudml.org/doc/15586
ER -

References

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  1. L. Bers F. John M. Schechter, Partial Differential Equations, Interscience Publishers, New York-London -Sydney, 1964. (1964) MR0163043
  2. J. F. Ciavaldini M. Pogu G. Tournemine, 10.1007/BF00250842, Arch. Ration. Mech. Anal. 93 (1986), 1-14. (1986) MR0822333DOI10.1007/BF00250842
  3. M. Feistauer, Mathematical study of three-dimensional axially symmetric stream fields of an ideal fluid, In: Methoden und Verfahren der Math. Physik 21 (B. Brosowski and E. Martensen - eds.), 45 - 62, P. D. Lang, Frankfurt am Main-Bern, 1980. (1980) MR0714155
  4. M. Feistauer, Mathematical study of rotational incompressible nonviscous flows through multiply connected domains, Apl. mat. 26 (1981), 345-364. (1981) MR0631753
  5. M. Feistauer, 10.1002/mma.1670040115, Math. Meth. in the Appl. Sci. 4 (1982), 230-242. (1982) MR0659039DOI10.1002/mma.1670040115
  6. M. Feistauer, On irrotational flows through cascades of profiles in a layer of variable thickness, Apl. mat. 29 (1984), No. 6, 423-458. (1984) Zbl0598.76061MR0767495
  7. M. Feistauer J. Felcman Z. Vlášek, Finite element solution of flows through cascades of profiles in a layer of variable thickness, Apl. mat. 31 (1986), No. 4, 309-339. (1986) MR0854324
  8. A. Kufner O. John S. Fučík, Function Spaces, Academia, Prague, 1977. (1977) MR0482102
  9. O. A. Ladyzhenskaya N. N. Uraľtseva, Linear and Quasilinear Elliptic Equations, Nauka, Moscow, 1973 (Russian). (1973) MR0509265
  10. V. Oršulík, Solution of Subsonic Rotational Flows of an Ideal Fluid in Three-Dimensional Axially Symmetric Channels, (Czech). Thesis, Prague 1988. (1988) 

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