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BEM and the second problems of the Stokes system

SYSNO ASEP	0380319
Document Type	C - Proceedings Paper (int. conf.)
R&D Document Type	Conference Paper
Title	BEM and the second problems of the Stokes system
Author(s)	Medková, Dagmar (MU-W)_{RID, SAI, ORCID}
Source Title	Advances in Boundary Element and Meshless Techniques XIII. - Eastleigh : EC, ltd, 2012 / Prochazka P. ; Aliabadi M.H. - ISBN 978-0-9547783-9-2
Pages	s. 230-236
Number of pages	7 s.
Publication form	Print - P
Action	Proceedings of the Boundary Elements and Meshless Techniques
Event date	03.09.2012-05.09.2012
VEvent location	Praha
Country	CZ - Czech Republic
Event type	WRD
Language	eng - English
Country	GB - United Kingdom
Keywords	Stokes system ; integral equation method ; successive approximation
Subject RIV	BA - General Mathematics
R&D Projects	GAP201/11/1304 GA ČR - Czech Science Foundation (CSF)
CEZ	AV0Z1019905 - MU-W
Annotation	A weak solution of two Neumann problems for the Stokes system in Sobolev space is studied in a bounded Lipschitz domain with connected boundary. A solution is looked for in the form of a hydrodynamical single layer potential. It leads to an integral equation on the boundary of the domain. Necessary and sufficient conditions for the solvability of the problem are given. Moreover, it is shown that we can obtain a solution of this integral equation using the successive approximation method.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2013

Number of the records: 1