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On the existence, uniqueness and regularity of the exterior Stokes problem in $$R^ 3$$. (English) Zbl 0608.35056
An analysis is given for a solution to the steady Stokes flow problem on an exterior domain in $${\mathbb{R}}^ 3$$. Questions are studied of existence, uniqueness and regularity by using variational methods. By working in weighted function spaces the writer is able to work with a Hilbert space structure which will be useful for finite element construction of solutions.
Reviewer: B.Straugham

##### MSC:
 35Q30 Navier-Stokes equations 35A15 Variational methods applied to PDEs 35B65 Smoothness and regularity of solutions to PDEs 35A05 General existence and uniqueness theorems (PDE) (MSC2000) 35Q99 Partial differential equations of mathematical physics and other areas of application
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