Geodesic
Solution of elliptic problem with not fully specified Dirichlet boundary value conditions and its application in hydrodynamics
Applications of Mathematics, Tome 24 (1979) no. 1, pp. 67-74
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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.
DOI : 10.21136/AM.1979.103780
Classification : 35J25, 35Q99, 76C99, 76J20
Keywords: uniformly elliptic; linear boundary value problems 
@article{10_21136_AM_1979_103780,
     author = {Feistauer, Miloslav},
     title = {Solution of elliptic problem with not fully specified {Dirichlet} boundary value conditions and its application in hydrodynamics},
     journal = {Applications of Mathematics},
     pages = {67--74},
     year = {1979},
     volume = {24},
     number = {1},
     doi = {10.21136/AM.1979.103780},
     mrnumber = {0512557},
     zbl = {0399.35032},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1979.103780/}
}
TY  - JOUR
AU  - Feistauer, Miloslav
TI  - Solution of elliptic problem with not fully specified Dirichlet boundary value conditions and its application in hydrodynamics
JO  - Applications of Mathematics
PY  - 1979
SP  - 67
EP  - 74
VL  - 24
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1979.103780/
DO  - 10.21136/AM.1979.103780
LA  - en
ID  - 10_21136_AM_1979_103780
ER  - 
%0 Journal Article
%A Feistauer, Miloslav
%T Solution of elliptic problem with not fully specified Dirichlet boundary value conditions and its application in hydrodynamics
%J Applications of Mathematics
%D 1979
%P 67-74
%V 24
%N 1
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1979.103780/
%R 10.21136/AM.1979.103780
%G en
%F 10_21136_AM_1979_103780
Feistauer, Miloslav. Solution of elliptic problem with not fully specified Dirichlet boundary value conditions and its application in hydrodynamics. Applications of Mathematics, Tome 24 (1979) no. 1, pp. 67-74. doi: 10.21136/AM.1979.103780

[1] L. Bers F. John M. Schechter: Partial differential equations. Interscience publishers, New York - London- Sydney, 1964. | MR

[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. | MR | Zbl

[3] M. Feistauer: Solution of axially-symmetric stream fields in multiply connected domains. Technical research report, ŠKODA Plzeň, 1977 (in Czech).

[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.

[5] О. А. Ладыженская H. H. Уральцева: Линейные и квазилинейные уравнения эллиптического типа. Наука, Москва, 1973. | Zbl

[6] Л. Г. Лойцянский: Механика жидкости и газа. Физматриз, Москва, 1973. | Zbl

[7] J. Nečas: Les méthodes directes en théorie des équations elliptiques. Academia, Prague, 1967. | MR

[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).

Cité par Sources :