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@techreport{stebel_shape_stability,
  title = {On shape stability of incompressible fluids subject to {N}avier's slip},
  author = {J. Stebel},
  institution = {Ne{\v c}as Center for Mathematical Modeling},
  year = {2010},
  number = {10},
  type = {Preprint},
  abstract = {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 $C^{1,1}$.
    The result is applicable to a wide class of shape optimization problems
    and is optimal in terms of boundary regularity.},
  url = {http://ncmm.karlin.mff.cuni.cz/preprints/1031112021pr10.pdf},
  note = {Submitted to J. Math. Fluid Mech.}
}

@techreport{lanzendorfer_stebel2009mcs,
  title = {On a mathematical model of journal bearing lubrication},
  author = {Lanzend{\"o}rfer, M. and Stebel, J.},
  institution = {Institute of Mathematics of the Academy of Sciences of the Czech Republic},
  year = {2010},
  number = {206},
  type = {Preprint},
  abstract = {We consider the steady motion of an incompressible fluid whose viscosity depends
    on the~pressure and the~shear rate. 
    The system is completed by suitable boundary conditions involving 
    non-homogeneous Dirichlet, Navier's slip and inflow/outflow parts. 
    We prove the existence of weak solutions and show that the resulting level of the pressure 
    is fixed by the boundary conditions.
    The problem is motivated by particular applications from tribology.},
  url = {http://www.math.cas.cz/preprint/pre-206.pdf},
  note = {Submitted to Mathematics and Computers in Simulation}
}

@techreport{lanzendorfer2008ncmm,
  title = {{On Pressure Boundary Conditions for Steady Flows of Incompressible Fluids with Pressure and Shear Rate Dependent Viscosities}},
  author = {Lanzend\"orfer, M. and Stebel, J.},
  institution = {Ne{\v c}as Center for Mathematical Modeling},
  year = {2008},
  number = {15},
  url = {http://www.karlin.mff.cuni.cz/ncmm/preprints/08311085315OnPressBndrCond-submitMB.pdf},
  type = {Preprint},
  abstract = {We consider a class of incompressible fluids whose viscosities depend
    on the~pressure and the~shear rate. 
    Suitable boundary conditions on the surface force at the
    inflow/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 the~uniqueness of weak solutions
    (the later for small data)
    and~discuss particular applications of the results.},
  note = {To appear in Appl. Math.}
}