In this paper, we provide stability analysis for a stationary Stokes hemivariational inequality where along the tangential direction of the slip boundary, an inclusion relation involving the generalized subdifferential of a superpotential is specified. With viscous incompressible fluid flows as application background, stability is analyzed for solutions with respect to perturbations in the superpotential and the density of external forces. We also present a result on the existence of a solution to an optimal control problem for the stationary Stokes hemivariational inequality.

中文翻译：

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平稳斯托克斯半变分不等式的稳定性分析和最优控制

在本文中，我们提供了平稳Stokes半变分不等式的稳定性分析，其中沿着滑动边界的切线方向，指定了包含超电势广义次微分的包含关系。以粘性不可压缩流体流动为应用背景，分析了关于超势扰动和外力密度的解决方案的稳定性。我们还提出了关于固定Stokes半变分不等式最优控制问题的解决方案的存在性的结果。