SIAM Journal on Applied Mathematics, Volume 80, Issue 5, Page 2226-2248, January 2020.
The jump relations of certain hypersingular Stokes kernels arising from the single-layer potential representation of the velocity field are derived. We find that the jumps in the normal gradients of pressure and stress and the normal component of the velocity Hessian involve the mean curvature and tangential derivatives of the layer potential density. The analysis is performed separately on the normal and tangential components of each kernel and reveals the behavior near the singularity in these scalar kernels as well.

中文翻译：

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某些超奇异Stokes核在规则曲面上的跳跃关系

SIAM应用数学杂志，第80卷，第5期，第2226-2248页，2020年1月
。得出了由速度场的单层势表示所引起的某些超奇异Stokes核的跳跃关系。我们发现，压力和应力的法线梯度和速度Hessian的法线分量的跳跃涉及层电势密度的平均曲率和切向导数。该分析是对每个内核的法向分量和切向分量分别执行的，并且还揭示了这些标量内核中奇异点附近的行为。