About: Boundary value problems for the Stokes equations with jumps in open sets

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	A boundary value problem for the Stokes system is studied in a cracked domain, 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 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, a maximum modulus estimate for the Stokes system is proved. A boundary value problem for the Stokes system is studied in a cracked domain, 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 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, a maximum modulus estimate for the Stokes system is proved. (en) Na oblasti s trhlinou je studována okrajová úloha pro Stokesův systém, kde na hranici oblasti je zadána Dirichletova podmínka. Na trhlině je předepsán skok rychlosti a skok tenzoru napětí v normálovém směru. Konstruujeme řešení tohoto problému ve tvaru vhodného potenciálu a určíme neznámou hustotu pomocí soustavy integrálních rovnic na hranici dané oblasti. Řešení je dané explicitně ve tvaru řady. Jako důsledek je dokázán princip maxima pro Stokesův systém. (cs)
Title	Boundary value problems for the Stokes equations with jumps in open sets Boundary value problems for the Stokes equations with jumps in open sets (en) Okrajové úlohy pro Stokesovy rovnice se skoky v otevřených množinách (cs)
skos:prefLabel	Boundary value problems for the Stokes equations with jumps in open sets Boundary value problems for the Stokes equations with jumps in open sets (en) Okrajové úlohy pro Stokesovy rovnice se skoky v otevřených množinách (cs)
skos:notation	RIV/67985840:_____/08:00315499!RIV09-AV0-67985840
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(IAA100190804), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika	7
http://linked.open...vai/riv/dodaniDat	2009
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	358420
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/08:00315499
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Stokes system; Dirichlet problem; hydrodinamical potentials (en)
http://linked.open.../riv/klicoveSlovo	Stokes system Dirichlet problem hydrodinamical potentials
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[16C087496A39]
http://linked.open...i/riv/nazevZdroje	Applicable Analysis
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (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	2008
http://linked.open...v/svazekPeriodika	87
http://linked.open...iv/tvurceVysledku	Medková, Dagmar Varnhorn, W.
http://linked.open...ain/vavai/riv/wos	000259648400006
http://linked.open...n/vavai/riv/zamer	Rozvoj a prohloubení obecných matematických poznatků a jejich užití v dalších vědních oborech a v praxi
issn	0003-6811
number of pages	21 (xsd:int)
is http://linked.open...avai/riv/vysledek of	Boundary value problems for the Stokes equations with jumps in open sets Boundary value problems for the Stokes equations with jumps in open sets Boundary value problems for the Stokes equations with jumps in open sets Boundary value problems for the Stokes equations with jumps in open sets

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