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The planar Dirichlet problem for the Stokes equations

SYSNO ASEP	0365416
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	The planar Dirichlet problem for the Stokes equations
Author(s)	Medková, Dagmar (MU-W)_{RID, SAI, ORCID} Varnhorn, W. (DE)
Source Title	Mathematical Methods in the Applied Sciences. - : Wiley - ISSN 0170-4214 Roč. 34, č. 9 (2011), s. 1097-1109
Number of pages	13 s.
Language	eng - English
Country	GB - United Kingdom
Keywords	Stokes system ; single-layer potential ; double-layer potential
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)
UT WOS	000291440300006
EID SCOPUS	79957530362
DOI	10.1002/mma.1425
Annotation	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.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2012

Number of the records: 1