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  • The Neumann problem for the Stokes system is studied on bounded and unbounded domains with Ljapunov boundary in the plane. We construct a solution of this problem in the form of appropriate potentials and reduce the problem to an integral equation systems on the boundary of the domain. We determine a necessary and sufficient condition for the solvability of the problem. Then we study the direct integral equation method and prove that a solution of the corresponding integral equation can be obtained by the successive approximation.
  • The Neumann problem for the Stokes system is studied on bounded and unbounded domains with Ljapunov boundary in the plane. We construct a solution of this problem in the form of appropriate potentials and reduce the problem to an integral equation systems on the boundary of the domain. We determine a necessary and sufficient condition for the solvability of the problem. Then we study the direct integral equation method and prove that a solution of the corresponding integral equation can be obtained by the successive approximation. (en)
Title
  • The Neumann problem for the planar Stokes system
  • The Neumann problem for the planar Stokes system (en)
skos:prefLabel
  • The Neumann problem for the planar Stokes system
  • The Neumann problem for the planar Stokes system (en)
skos:notation
  • RIV/67985840:_____/12:00383609!RIV13-AV0-67985840
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
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  • I, P(GAP201/11/1304)
http://linked.open...iv/cisloPeriodika
  • 2
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  • 153852
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  • RIV/67985840:_____/12:00383609
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  • Stokes system; Neumann problem; single layer potential (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • FR - Francouzská republika
http://linked.open...ontrolniKodProRIV
  • [13F65F4BC978]
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  • Annali dell´Universitá di Ferrara
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 58
http://linked.open...iv/tvurceVysledku
  • Medková, Dagmar
issn
  • 0430-3202
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s11565-012-0154-8
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