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

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MR Zbl
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 
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
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