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A nonlocal Stokes system with volume constraints (2203.14491v2)
Published 28 Mar 2022 in math.AP, cs.NA, and math.NA
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.