V Steady Stokes Flow in Exterior Domains
In this chapter we shall analyze the Stokes problem in an exterior domain. Specifically, assuming that the region of flow Ω is a domain coinciding with the complement of a compact set (not necessarily connected) we wish to establish existence, uniqueness, and the validity of corresponding estimates for the velocity field v and the pressure field p of a steady flow in Ω governed by the Stokes approximation, i.e.
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