The planar Dirichlet problem for the Stokes equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F11%3A00365416" target="_blank" >RIV/67985840:_____/11:00365416 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1002/mma.1425" target="_blank" >http://dx.doi.org/10.1002/mma.1425</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mma.1425" target="_blank" >10.1002/mma.1425</a>

Result language
angličtina
Original language name
The planar Dirichlet problem for the Stokes equations
Original language description
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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/IAA100190804" target="_blank" >IAA100190804: The motion of rigid bodies in liquid: mathematical analysis, numerical simulation and related problems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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