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@ARTICLE{2008-15,
    author = {Lanzend{\"{o}}rfer, Martin and Stebel, Jan},
  keywords = {existence of weak solutions, filtration boundary conditions, Incompressible fluids, inflow/outflow boundary conditions, non-Newtonian fluid, pressure boundary conditions, Pressure-dependent viscosity, shear-dependent viscosity},
     title = {On Pressure Boundary Conditions for Steady Flows of Incompressible Fluids with Pressure and Shear Rate Dependent Viscosities},
   journal = {Applications of Mathematics},
    volume = {56},
    number = {3},
      year = {2011},
     pages = {265--285},
       url = {http://am.math.cas.cz/full/56/3/am56_3_2.pdf},
       doi = {10.1007/s10492-011-0016-1},
  abstract = {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.}
}