A Nonlocal Stokes system with volume constraints

Qiang Du Columbia University, Zuoqiang Shi Tsinghua University

Analysis of PDEs Numerical Analysis and Scientific Computing mathscidoc:1711.03001

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. We prove that the nonlocal model is well-posed and the solution of the nonlocal system converges to the solution of the original Stokes system when the nonlocality vanishes.
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  title={A Nonlocal Stokes system with volume constraints},
  author={Qiang Du, and Zuoqiang Shi},
Qiang Du, and Zuoqiang Shi. A Nonlocal Stokes system with volume constraints. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20171107105247324604852.
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