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  • We consider a class of incompressible fluids whose viscosities depend on the pressure and the shear rate. Suitable boundary conditions on the traction at the in- flow/outflow part of boundary are given. As an advantage of this, the mean value of the pressure over the domain is no more a free parameter which would have to be prescribed otherwise. We prove the existence and uniqueness of weak solutions (the latter for small data) and discuss particular applications of the results.
  • We consider a class of incompressible fluids whose viscosities depend on the pressure and the shear rate. Suitable boundary conditions on the traction at the in- flow/outflow part of boundary are given. As an advantage of this, the mean value of the pressure over the domain is no more a free parameter which would have to be prescribed otherwise. We prove the existence and uniqueness of weak solutions (the latter for small data) and discuss particular applications of the results. (en)
Title
  • On Pressure Boundary Conditions for Steady Flows of Incompressible Fluids with Pressure and Shear Rate Dependent Viscosities
  • On Pressure Boundary Conditions for Steady Flows of Incompressible Fluids with Pressure and Shear Rate Dependent Viscosities (en)
skos:prefLabel
  • On Pressure Boundary Conditions for Steady Flows of Incompressible Fluids with Pressure and Shear Rate Dependent Viscosities
  • On Pressure Boundary Conditions for Steady Flows of Incompressible Fluids with Pressure and Shear Rate Dependent Viscosities (en)
skos:notation
  • RIV/67985840:_____/11:00331366!RIV12-AV0-67985840
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  • P(GA201/06/0352), P(LC06052), Z(AV0Z10190503), Z(AV0Z10300504)
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  • 3
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  • 218105
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  • RIV/67985840:_____/11:00331366
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  • existence; weak solutions; incompressible fluids; non-Newtonian fluids; pressure dependent viscosity; shear dependent viscosity; inflow/outflow boundary conditions; pressure boundary conditions; filtration boundary conditions (en)
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  • CZ - Česká republika
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  • [1A0AC9D35D22]
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  • Applications of Mathematics
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  • 56
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  • Stebel, Jan
  • Lanzendörfer, Martin
http://linked.open...ain/vavai/riv/wos
  • 000300061200002
http://linked.open...n/vavai/riv/zamer
issn
  • 0862-7940
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s10492-011-0016-1
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