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  • Well-accepted hypothesis in the fluid dynamics is that if the boundary of the physical domain is impermeable then the vsiscous fluid adheres completely to it. Many authors recently proposed mathematical justifications for this hypothesis using the so-called rugous boundary. In this paper we want to discuss optimality of results obtained in Bucur et al., Bucur and Feireisl or Díaz et al. and we show several corresponding examples. Finally, we extend these results for more general domains.
  • Well-accepted hypothesis in the fluid dynamics is that if the boundary of the physical domain is impermeable then the vsiscous fluid adheres completely to it. Many authors recently proposed mathematical justifications for this hypothesis using the so-called rugous boundary. In this paper we want to discuss optimality of results obtained in Bucur et al., Bucur and Feireisl or Díaz et al. and we show several corresponding examples. Finally, we extend these results for more general domains. (en)
Title
  • Asymptotic properties of solutions to the equations of incompressible fluid mechanics
  • Asymptotic properties of solutions to the equations of incompressible fluid mechanics (en)
skos:prefLabel
  • Asymptotic properties of solutions to the equations of incompressible fluid mechanics
  • Asymptotic properties of solutions to the equations of incompressible fluid mechanics (en)
skos:notation
  • RIV/67985840:_____/10:00353467!RIV11-GA0-67985840
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/08/0315), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • 4
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
  • 248004
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/10:00353467
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Navier-Stokes equations; boundary conditions; rough boundary (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CH - Švýcarská konfederace
http://linked.open...ontrolniKodProRIV
  • [99A97C186B84]
http://linked.open...i/riv/nazevZdroje
  • Journal of Mathematical Fluid Mechanics
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
  • 12
http://linked.open...iv/tvurceVysledku
  • Březina, Jan
http://linked.open...ain/vavai/riv/wos
  • 000285929600004
http://linked.open...n/vavai/riv/zamer
issn
  • 1422-6928
number of pages
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