On Pressure Boundary Conditions for Steady Flows of Incompressible Fluids with Pressure and Shear Rate Dependent Viscosities
| Type of publication: | Article |
| Citation: | 2008-15 |
| Publication status: | Published |
| Journal: | Applications of Mathematics |
| Volume: | 56 |
| Number: | 3 |
| Year: | 2011 |
| Pages: | 265--285 |
| URL: | http://am.math.cas.cz/full/56/... |
| 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. |
| 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 |
| Authors | |
| Added by: | [ADM] |
| Total mark: | 0 |
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