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Biorthogonality condition for axisymmetric Stokes flow in spherical geometries. (English) Zbl 0955.76021

Summary: We derive the biorthogonality condition for an axisymmetric Stokes flow between two concentric spheres. This biorthogonality condition is satisfied by eigenfunctions and adjoint eigenfunctions, which are used by the computation of coefficients of the eigenfunction series solution of the corresponding creeping flow problem.

MSC:

76D07 Stokes and related (Oseen, etc.) flows
35P10 Completeness of eigenfunctions and eigenfunction expansions in context of PDEs
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