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Description
  • A boundary value problem for the Stokes system is studied in a cracked domain in the Euclidean space, 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 the unknown source densities via integral equations' 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 in the Euclidean space, 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 the unknown source densities via integral equations' 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)
Title
  • The Dirichlet problem for the Stokes system and the integral equations method
  • The Dirichlet problem for the Stokes system and the integral equations method (en)
skos:prefLabel
  • The Dirichlet problem for the Stokes system and the integral equations method
  • The Dirichlet problem for the Stokes system and the integral equations method (en)
skos:notation
  • RIV/67985840:_____/10:00346697!RIV11-AV0-67985840
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(IAA100190804), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 254560
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/10:00346697
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Stokes system; layer potential; integral equation; crack (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • BG - Bulharská republika
http://linked.open...ontrolniKodProRIV
  • [9EA2963DBD08]
http://linked.open...i/riv/nazevZdroje
  • International Journal of Pure and Applied Mathematics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 62
http://linked.open...iv/tvurceVysledku
  • Medková, Dagmar
  • Varnhorn, W.
http://linked.open...n/vavai/riv/zamer
issn
  • 1311-8080
number of pages
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