The planar Dirichlet problem for the Stokes equations

0365416 - MÚ 2012 RIV GB eng J - Journal Article
Medková, Dagmar - Varnhorn, W.
The planar Dirichlet problem for the Stokes equations.
Mathematical Methods in the Applied Sciences. Roč. 34, č. 9 (2011), s. 1097-1109. ISSN 0170-4214. E-ISSN 1099-1476
R&D Projects: GA AV ČR IAA100190804
Institutional research plan: CEZ:AV0Z10190503
Keywords : Stokes system * single-layer potential * double-layer potential
Subject RIV: BA - General Mathematics
Impact factor: 0.743, year: 2011
http://onlinelibrary.wiley.com/doi/10.1002/mma.1425/full

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.
Permanent Link: http://hdl.handle.net/11104/0200661