Corpus ID: 119343603

There's more than one way to cancel a regularized Stokeslet.

@article{Mitchell2019TheresMT,
  title={There's more than one way to cancel a regularized Stokeslet.},
  author={William H. Mitchell and Dona H Pantova},
  journal={arXiv: Fluid Dynamics},
  year={2019}
}
The Green's functions of Stokes flow are widely used analytical and computational tools for microscale flows. We adapt a procedure from H.A. Lorentz for the method of images in Stokes flow to the regularized setting. Our solutions differ from those previously reported, a surprising result given the uniqueness theory for elliptic partial differential equations. The discrepancy originates in the fact that the two version are exact solutions of inhomogeneous Stokes systems with slightly different… Expand

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