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  • The paper is concerned with the equations of motion for incompressible fluids that slip at the wall. Particular interest is in the domain dependence of weak solutions. We prove that the solutions depend continuously on the perturbation of the boundary provided that the latter remains in the class C1, 111 . The result is applicable to a wide class of shape optimization problems and is optimal in terms of boundary regularity.
  • The paper is concerned with the equations of motion for incompressible fluids that slip at the wall. Particular interest is in the domain dependence of weak solutions. We prove that the solutions depend continuously on the perturbation of the boundary provided that the latter remains in the class C1, 111 . The result is applicable to a wide class of shape optimization problems and is optimal in terms of boundary regularity. (en)
Title
  • On shape stability of incompressible fluids subject to Navier's slip condition
  • On shape stability of incompressible fluids subject to Navier's slip condition (en)
skos:prefLabel
  • On shape stability of incompressible fluids subject to Navier's slip condition
  • On shape stability of incompressible fluids subject to Navier's slip condition (en)
skos:notation
  • RIV/67985840:_____/12:00373951!RIV13-AV0-67985840
http://linked.open...avai/riv/aktivita
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  • P(LC06052), Z(AV0Z10190503)
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  • 3
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  • 156324
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  • RIV/67985840:_____/12:00373951
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  • Navier's slip boundary condition; domain dependence; incompressible fluid (en)
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  • CH - Švýcarská konfederace
http://linked.open...ontrolniKodProRIV
  • [5F9A979ADF0B]
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  • Journal of Mathematical Fluid Mechanics
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  • 14
http://linked.open...iv/tvurceVysledku
  • Stebel, Jan
http://linked.open...ain/vavai/riv/wos
  • 000308064800011
http://linked.open...n/vavai/riv/zamer
issn
  • 1422-6928
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s00021-011-0086-6
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