Jump relations of certain hypersingular stokes kernels on regular surfaces

The jump relations of certain hypersingular Stokes kernels arising from the singlelayer 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.