About: Convergence of the Neumann series in BEM for the Neumann problem of the stokes system

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	A weak solution of the Neumann problem 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. Then the consequences for the direct boundary integral equation method are treated. A solution of the Neumann problem for the Stokes system is the sum of the hydrodynamical single layer potential corresponding to the boundary condition and the hydrodynamical double layer potential corresponding to the trace of the velocity part of the solution. Using boundary behavior of potentials we get an integral equation on the boundary of the domain where the trace of the velocity part of the solution is unknown. A weak solution of the Neumann problem 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. Then the consequences for the direct boundary integral equation method are treated. A solution of the Neumann problem for the Stokes system is the sum of the hydrodynamical single layer potential corresponding to the boundary condition and the hydrodynamical double layer potential corresponding to the trace of the velocity part of the solution. Using boundary behavior of potentials we get an integral equation on the boundary of the domain where the trace of the velocity part of the solution is unknown. (en)
Title	Convergence of the Neumann series in BEM for the Neumann problem of the stokes system Convergence of the Neumann series in BEM for the Neumann problem of the stokes system (en)
skos:prefLabel	Convergence of the Neumann series in BEM for the Neumann problem of the stokes system Convergence of the Neumann series in BEM for the Neumann problem of the stokes system (en)
skos:notation	RIV/67985840:_____/11:00367466!RIV12-AV0-67985840
http://linked.open...avai/predkladatel	Matematický ústav AV ČR, v. v. i.
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(IAA100190804), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika	3
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Medková, Dagmar
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Matematický ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	191961
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/11:00367466
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	stokes system; Neumann problem; integral equation method (en)
http://linked.open.../riv/klicoveSlovo	Neumann problem integral equation method stokes system
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[BF8A68FEC128]
http://linked.open...i/riv/nazevZdroje	Acta Applicandae Mathematicae
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	The motion of rigid bodies in liquid: mathematical analysis, numerical simulation and related problems
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	116
http://linked.open...iv/tvurceVysledku	Medková, Dagmar
http://linked.open...ain/vavai/riv/wos	000300084300004
http://linked.open...n/vavai/riv/zamer	Rozvoj a prohloubení obecných matematických poznatků a jejich užití v dalších vědních oborech a v praxi
issn	0167-8019
number of pages	24 (xsd:int)
http://bibframe.org/vocab/doi	10.1007/s10440-011-9643-5
is http://linked.open...avai/riv/vysledek of	Convergence of the Neumann series in BEM for the Neumann problem of the stokes system Convergence of the Neumann series in BEM for the Neumann problem of the stokes system

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