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

SYSNO ASEP	0331366
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	On Pressure Boundary Conditions for Steady Flows of Incompressible Fluids with Pressure and Shear Rate Dependent Viscosities
Author(s)	Lanzendörfer, Martin (UIVT-O)_{SAI, RID, ORCID} Stebel, Jan (MU-W)_{RID, ORCID, SAI}
Source Title	Applications of Mathematics. - : Springer - ISSN 0862-7940 Roč. 56, č. 3 (2011), s. 265-285
Number of pages	21 s.
Language	eng - English
Country	CZ - Czech Republic
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
R&D Projects	LC06052 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
CEZ	AV0Z10300504 - UIVT-O (2005-2011)
	AV0Z10190503 - MU-W (2005-2011)
UT WOS	000300061200002
EID SCOPUS	79959311555
DOI	10.1007/s10492-011-0016-1
Annotation	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.
Workplace	Institute of Computer Science
Contact	Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800
Year of Publishing	2012

Number of the records: 1