The Neumann problem for the planar Stokes system

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F12%3A00383609" target="_blank" >RIV/67985840:_____/12:00383609 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s11565-012-0154-8" target="_blank" >http://dx.doi.org/10.1007/s11565-012-0154-8</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11565-012-0154-8" target="_blank" >10.1007/s11565-012-0154-8</a>

Result language
angličtina
Original language name
The Neumann problem for the planar Stokes system
Original language description
The Neumann problem for the Stokes system is studied on bounded and unbounded domains with Ljapunov boundary in the plane. We construct a solution of this problem in the form of appropriate potentials and reduce the problem to an integral equation systems on the boundary of the domain. We determine a necessary and sufficient condition for the solvability of the problem. Then we study the direct integral equation method and prove that a solution of the corresponding integral equation can be obtained by the successive approximation.
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
—

Project
<a href="/en/project/GAP201%2F11%2F1304" target="_blank" >GAP201/11/1304: Flow of fluids in domains with variable geometry</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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