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Zbl 1175.76043
Kohr, M.
The interior Neumann problem for the Stokes resolvent system in a bounded domain in $\bbfR^n$. (English)
[J] Arch. Mech. 59, No. 3, 283-304 (2007). ISSN 0373-2029

Summary: The interior Neumann problem for the Stokes resolvent system is studied from the point of view of the potential theory. The existence and uniqueness results as well as boundary integral representations of the classical solution are given in the case of a bounded domain in Rn, having a compact but not connected boundary of class $C^{1,\alpha} (0 < \alpha \leq = 1)$.

MSC 2000:: *76D07 Stokes flows
76D03 Existence, uniqueness, and regularity theory
35Q30 Stokes and Navier-Stokes equations

Keywords: Stokes resolvent system; Neumann problem; fundamental solution; potential theory; boundary integral representations

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Zentralblatt MATH Berlin [Germany]