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Integral representation of a solution of the Neumann problem for the Stokes system

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Abstract

The Neumann problem for the Stokes system is studied on a domain in R 3 with Ljapunov bounded boundary. We construct a solution of this problem in the form of appropriate potentials and determine unknown source densities via integral equation systems on the boundary of the domain. The solution is given explicitly in the form of a series.

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Authors and Affiliations

  1. Mathematical Institute, Academy of Sciences of the Czech Republic, Žitná 25, 115 67, Praha 1, Czech Republic

    Dagmar Medková

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  1. Dagmar Medková
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Correspondence to Dagmar Medková.

Additional information

The work was supported by the Academy of Sciences of the Czech Republic, Institutional Research Plan No. AVOZ10190503 and grant No. I AA 100190804 financed by the GA AVČR.

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Medková, D. Integral representation of a solution of the Neumann problem for the Stokes system. Numer Algor 54, 459–484 (2010). https://doi.org/10.1007/s11075-009-9346-4

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  • DOI: https://doi.org/10.1007/s11075-009-9346-4

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