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The planar Dirichlet problem for the Stokes equations

✍ Scribed by Dagmar Medková; Werner Varnhorn

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
209 KB
Volume
34
Category
Article
ISSN
0170-4214

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✦ Synopsis

Communicated by A. Kirsch

The Dirichlet problem for the Stokes equations is studied in a planar domain. We construct a solution of this problem in form of appropriate potentials and determine the unknown source densities via integral equation systems on the boundary of the domain. The solution is given explicitly in the form of a series. As a consequence we determine a solution of the Dirichlet problem for a compressible Stokes system and a solution of a boundary value problem on a domain with cracks.

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