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Numer. Math. Theor. Meth. Appl., 15 (2022), pp. 903-937.
Published online: 2022-10
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In this paper, we introduce a nonlocal model for linear steady Stokes system with physical no-slip boundary condition. We use the idea of volume constraint to enforce the no-slip boundary condition and prove that the nonlocal model is well-posed. We also show that and the solution of the nonlocal system converges to the solution of the original Stokes system as the nonlocality vanishes.
}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.OA-2022-0002s}, url = {http://global-sci.org/intro/article_detail/nmtma/21085.html} }In this paper, we introduce a nonlocal model for linear steady Stokes system with physical no-slip boundary condition. We use the idea of volume constraint to enforce the no-slip boundary condition and prove that the nonlocal model is well-posed. We also show that and the solution of the nonlocal system converges to the solution of the original Stokes system as the nonlocality vanishes.