About: Integral equation method for the first and second problems of the Stokes system

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Using the integral equation method we study solutions of boundary value problems for the Stokes system in Sobolev space in a bounded Lipschitz domain with connected boundary. A solution of the second problem is studied both by the indirect and the direct boundary integral equation method. It is shown that we can obtain a solution of the corresponding integral equation using the successive approximation method. Then we study the first problem for the Stokes system by the direct integral equation method. But the corresponding integral equation is not uniquely solvable. We construct another uniquely solvable integral equation such that the solution of the new eqution is a solution of the original integral equation provided the first problem has a solution. Moreover, the new integral equation has a form g+Sg=f, where S is a contractive operator and we can solve it by the successive approximation. Using the integral equation method we study solutions of boundary value problems for the Stokes system in Sobolev space in a bounded Lipschitz domain with connected boundary. A solution of the second problem is studied both by the indirect and the direct boundary integral equation method. It is shown that we can obtain a solution of the corresponding integral equation using the successive approximation method. Then we study the first problem for the Stokes system by the direct integral equation method. But the corresponding integral equation is not uniquely solvable. We construct another uniquely solvable integral equation such that the solution of the new eqution is a solution of the original integral equation provided the first problem has a solution. Moreover, the new integral equation has a form g+Sg=f, where S is a contractive operator and we can solve it by the successive approximation. (en)
Title	Integral equation method for the first and second problems of the Stokes system Integral equation method for the first and second problems of the Stokes system (en)
skos:prefLabel	Integral equation method for the first and second problems of the Stokes system Integral equation method for the first and second problems of the Stokes system (en)
skos:notation	RIV/67985840:_____/13:00398062!RIV14-GA0-67985840
http://linked.open...avai/predkladatel	Matematický ústav AV ČR, v. v. i.
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GAP201/11/1304)
http://linked.open...iv/cisloPeriodika	4
http://linked.open...vai/riv/dodaniDat	2014
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	80507
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/13:00398062
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Stokes system; first problem; second problem (en)
http://linked.open.../riv/klicoveSlovo	first problem second problem Stokes system
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[CD7BDE4B6257]
http://linked.open...i/riv/nazevZdroje	Potential Analysis
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	Flow of fluids in domains with variable geometry
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	39
http://linked.open...iv/tvurceVysledku	Medková, Dagmar
http://linked.open...ain/vavai/riv/wos	000325632800006
issn	0926-2601
number of pages	21 (xsd:int)
http://bibframe.org/vocab/doi	10.1007/s11118-013-9336-y

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