@Article{NMTMA-15-4, author = {Qiang, Du and Zuoqiang, Shi}, 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 = {https://global-sci.com/article/90277/a-nonlocal-stokes-system-with-volume-constraints} }