preprints.bib
@techreport{haslinger_stebel2009ncmm,
title = {{Shape optimization for Navier-Stokes equations with algebraic turbulence model: Numerical analysis and computation}},
author = {Haslinger, J. and Stebel, J.},
institution = {Ne{\v c}as Center for Mathematical Modeling},
year = {2009},
number = {26},
url = {http://ncmm.karlin.mff.cuni.cz/preprints/09140095919pr26.pdf},
type = {Preprint},
abstract = {We study the shape optimization problem for the paper machine headbox which distributes a mixture of water and wood fibers in the paper making process. The aim is to find a shape which a priori ensures the given velocity profile on the outlet part. The mathematical formulation leads to the optimal control problem in which the control variable is the shape of the domain representing the header, the state problem is represented by the generalized Navier-Stokes system with nontrivial boundary conditions. This paper deals with numerical aspects of the problem.},
note = {Submitted to Appl. Math. Optim.}
}
@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.}
}
