Biorthogonality condition for axisymmetric stokes flow in spherical geometries
We derive the biorthogonality condition for axisymmetric Stokes flow in a region between two concentric spheres. This biorthogonality condition is a property satisfied by the eigenfunctions and adjoint eigenfunctions, which is needed to compute the coefficients of the eigenfunction expansion soluti...
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200002891 |
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| _version_ | 1849308875357945856 |
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| author | S. A. Khuri |
| author_facet | S. A. Khuri |
| author_sort | S. A. Khuri |
| collection | DOAJ |
| description | We derive the biorthogonality condition for axisymmetric
Stokes flow in a region between two concentric spheres.
This biorthogonality condition is a property satisfied by the
eigenfunctions and adjoint eigenfunctions, which is needed to
compute the coefficients of the eigenfunction expansion solution
of the corresponding creeping flow problem. |
| format | Article |
| id | doaj-art-0fcf2bc61d5c40c6aaf540df4206aa97 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-0fcf2bc61d5c40c6aaf540df4206aa972025-08-20T03:54:20ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-01231071171510.1155/S0161171200002891Biorthogonality condition for axisymmetric stokes flow in spherical geometriesS. A. Khuri0Department of Computer Science, Mathematics and Statistics, American University of Sharjah, P.O. Box 26666-739, Sharjah, United Arab EmiratesWe derive the biorthogonality condition for axisymmetric Stokes flow in a region between two concentric spheres. This biorthogonality condition is a property satisfied by the eigenfunctions and adjoint eigenfunctions, which is needed to compute the coefficients of the eigenfunction expansion solution of the corresponding creeping flow problem.http://dx.doi.org/10.1155/S0161171200002891Eigenvalueseigenfunctionseigenfunction expansion biorthogonality conditionsStokes flow.. |
| spellingShingle | S. A. Khuri Biorthogonality condition for axisymmetric stokes flow in spherical geometries International Journal of Mathematics and Mathematical Sciences Eigenvalues eigenfunctions eigenfunction expansion biorthogonality conditions Stokes flow.. |
| title | Biorthogonality condition for axisymmetric stokes flow in spherical geometries |
| title_full | Biorthogonality condition for axisymmetric stokes flow in spherical geometries |
| title_fullStr | Biorthogonality condition for axisymmetric stokes flow in spherical geometries |
| title_full_unstemmed | Biorthogonality condition for axisymmetric stokes flow in spherical geometries |
| title_short | Biorthogonality condition for axisymmetric stokes flow in spherical geometries |
| title_sort | biorthogonality condition for axisymmetric stokes flow in spherical geometries |
| topic | Eigenvalues eigenfunctions eigenfunction expansion biorthogonality conditions Stokes flow.. |
| url | http://dx.doi.org/10.1155/S0161171200002891 |
| work_keys_str_mv | AT sakhuri biorthogonalityconditionforaxisymmetricstokesflowinsphericalgeometries |