ON STABLE, COMPLETE, AND SINGULARITY-FREE BOUNDARY INTEGRAL FORMULATIONS OF EXTERIOR STOKES FLOW

A new boundary integral formulation of the second kind for exterior Stokes flow is introduced. The formulation is stable, complete, singularity-free, and natural for bodies of complicated shape and topology. We prove an existence and uniqueness result for the formulation for arbitrary flows and illustrate its performance via several numerical examples using a Nystrom method with Gauss-Legendre quadrature rules of different order.