A nonlocal Stokes system with volume constraints
Analysis of PDEs
2022-03-30 v2 Numerical Analysis
Numerical Analysis
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.
Cite
@article{arxiv.2203.14491,
title = {A nonlocal Stokes system with volume constraints},
author = {Qiang Du and Zuoqiang Shi},
journal= {arXiv preprint arXiv:2203.14491},
year = {2022}
}
Comments
accepted for publication in Numerical Mathematics: Theory, Methods and Applications