On Pressure Boundary Conditions for Steady Flows of Incompressible Fluids with Pressure and Shear Rate Dependent Viscosities

0331366 - ÚI 2012 RIV CZ eng J - Journal Article
Lanzendörfer, Martin - Stebel, Jan
On Pressure Boundary Conditions for Steady Flows of Incompressible Fluids with Pressure and Shear Rate Dependent Viscosities.
Applications of Mathematics. Roč. 56, č. 3 (2011), s. 265-285. ISSN 0862-7940. E-ISSN 1572-9109
R&D Projects: GA MŠMT LC06052
Grant - others:GA ČR(CZ) GA201/06/0352
Institutional research plan: CEZ:AV0Z10300504; CEZ:AV0Z10190503
Keywords : existence * weak solutions * incompressible fluids * non-Newtonian fluids * pressure dependent viscosity * shear dependent viscosity * inflow/outflow boundary conditions * pressure boundary conditions * filtration boundary conditions
Subject RIV: BK - Fluid Dynamics
Impact factor: 0.480, year: 2011
http://dml.cz/handle/10338.dmlcz/141486

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.
Permanent Link: http://hdl.handle.net/11104/0176899