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The Dirichlet problem for the Stokes system and the integral equations method
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SYSNO ASEP 0346697 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve SCOPUS Title The Dirichlet problem for the Stokes system and the integral equations method Author(s) Medková, Dagmar (MU-W) RID, SAI, ORCID
Varnhorn, W. (DE)Source Title International Journal of Pure and Applied Mathematics - ISSN 1311-8080
Roč. 62, č. 1 (2010), s. 49-55Number of pages 7 s. Language eng - English Country BG - Bulgaria Keywords Stokes system ; layer potential ; integral equation ; crack Subject RIV BA - General Mathematics R&D Projects IAA100190804 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10190503 - MU-W (2005-2011) EID SCOPUS 78649768368 Annotation A boundary value problem for the Stokes system is studied in a cracked domain in the Euclidean space, where the Dirichlet condition is specified on the boundary of the domain. The jump of the velocity and the jump of the stress tensor in the normal direction are prescribed on the crack. We construct a solution of this problem in the form of appropriate potentials and determine the unknown source densities via integral equations' systems on the boundary of the domain. The solution is given explicitly in the form of a series. As a consequence, a maximum modulus estimate for the Stokes system is proved. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2011
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