A stream function-vorticity formulation coupled with boundary integrals for the two-dimensional exterior Stokes problem |
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| Authors: | T Abboud V Girault A Sequeira |
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| Institution: | (1) Centre de Mathématiques Appliquées CNRS URA No. 756, Ecole Polytechnique, 91128 Palaiseau Cedex, France;(2) Laboratorie d'Analyse Numérique, Tour 55-65 5ème étage, Université Pierre et Marie Curie, 4 place Jussieu, 75252 Paris Cedex 05, France;(3) Instituto Superior Técnico & CMAF, Ave Prof. Gama Pinto 2, 1699 Lisboa Codex, Portugal |
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| Abstract: | In this work, we derive a stream function-vorticity variational formulation coupled with boundary integrals for the exterior Stokes problem in two dimensions, when the right-hand side has a bounded support. The stream function-vorticity formulation is expressed in a bounded region containing the support of the right-hand side, and the boundary conditions on the artificial boundary are obtained by an integral representation. We prove that this coupled formulation is equivalent to the original Stokes problem. |
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| Keywords: | 45K05 76D07 76M10 76M15 |
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