论文标题
具有音量约束的非本地Stokes系统
A nonlocal Stokes system with volume constraints
论文作者
论文摘要
在本文中，我们引入了一个非局部模型，用于具有物理无滑动边界条件的线性稳定Stokes系统。我们使用音量约束的概念来强制执行无滑动边界条件，并证明非局部模型已妥善化。我们还表明，非局部系统的解决方案会收敛到原始Stokes系统的解决方案，因为非局部性消失了。
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.
