@Article{NMTMA-15-903, author = {Du , Qiang and Shi , Zuoqiang}, title = {A Nonlocal Stokes System with Volume Constraints}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2022}, volume = {15}, number = {4}, pages = {903--937}, abstract = {

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} }