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

Miloslav Feistauer

Aplikace matematiky (1979)

  • Volume: 24, Issue: 1, page 67-74
  • ISSN: 0862-7940

Abstract

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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 of problems of stream fields round groups of profiles.

How to cite

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Feistauer, Miloslav. "Solution of elliptic problem with not fully specified Dirichlet boundary value conditions and its application in hydrodynamics." Aplikace matematiky 24.1 (1979): 67-74. <http://eudml.org/doc/15080>.

@article{Feistauer1979,
abstract = {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 of problems of stream fields round groups of profiles.},
author = {Feistauer, Miloslav},
journal = {Aplikace matematiky},
keywords = {uniformly elliptic; linear boundary value problems; Uniformly Elliptic; Linear Boundary Value Problems},
language = {eng},
number = {1},
pages = {67-74},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Solution of elliptic problem with not fully specified Dirichlet boundary value conditions and its application in hydrodynamics},
url = {http://eudml.org/doc/15080},
volume = {24},
year = {1979},
}

TY - JOUR
AU - Feistauer, Miloslav
TI - Solution of elliptic problem with not fully specified Dirichlet boundary value conditions and its application in hydrodynamics
JO - Aplikace matematiky
PY - 1979
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 24
IS - 1
SP - 67
EP - 74
AB - 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 of problems of stream fields round groups of profiles.
LA - eng
KW - uniformly elliptic; linear boundary value problems; Uniformly Elliptic; Linear Boundary Value Problems
UR - http://eudml.org/doc/15080
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. M. Feistauer, On two-dimensional and three-dimensional axially-symmetric rotational flows of an ideal incompressible fluid, Apl. mat. 22 (1977) No 3, 199-214. (1977) Zbl0373.76022MR0436748
  3. M. Feistauer, Solution of axially-symmetric stream fields in multiply connected domains, Technical research report, ŠKODA Plzeň, 1977 (in Czech). (1977) 
  4. K. Jacob, Berechnung der inkompressiblen Potentialströmung für Einzel- und Gitterprofile nach einer Variante des Martensens-Verfahrens, Bericht 63 RO2 der Aerodynamischen Versuchsanstalt Göttingen, 1963. (1963) 
  5. О. А. Ладыженская H. H. Уральцева, Линейные и квазилинейные уравнения эллиптического типа, Наука, Москва, 1973. (1973) Zbl1221.53041
  6. Л. Г. Лойцянский, Механика жидкости и газа, Физматриз, Москва, 1973. (1973) Zbl1170.01397
  7. J. Nečas, Les méthodes directes en théorie des équations elliptiques, Academia, Prague, 1967. (1967) MR0227584
  8. Z. Vlášek, Plane potential flow of an ideal incompressible fluid round groups of profiles and cascades of profiles, PhD thesis, Faculty of Mathematics and Physics, Prague, 1973 (in Czech). (1973) 

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