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On Steady Inner Flows of an Incompressible Fluid with the Viscosity Depending on the Pressure and the Shear rate
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SYSNO ASEP 0322464 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On Steady Inner Flows of an Incompressible Fluid with the Viscosity Depending on the Pressure and the Shear rate Title Ustálená vnitřní proudění nestlačitelné tekutiny s vazkostí závislou na tlaku a rychlosti smyku Author(s) Lanzendörfer, Martin (UIVT-O) SAI, RID, ORCID Source Title Nonlinear Analysis: Real World Applications. - : Elsevier - ISSN 1468-1218
Roč. 10, č. 4 (2009), s. 1943-1954Number of pages 12 s. Language eng - English Country GB - United Kingdom Keywords existence of a weak solution ; incompressible fluid ; steady inner flow ; pressure-dependent viscosity ; share-dependent viscosity Subject RIV BK - Fluid Dynamics CEZ AV0Z10300504 - UIVT-O (2005-2011) UT WOS 000264911200001 EID SCOPUS 61749093145 DOI 10.1016/j.nonrwa.2008.02.034 Annotation We consider a class of incompressible fluids whose viscosities depend on the pressure and the shear rate. The existence of weak solutions for steady flows of such fluids subject to homogeneous Dirichlet boundary conditions is established in Franta, Málek, Rajagopal [M. Franta, J. Málek, K.R. Rajagopal, On steady flows of fluids with pressure- and shear- dependent viscosities, Proc. Roy. Soc. A Math. Phys. Eng. Sci. 461 (2055) (2005) 651–670]. In this paper we treat non-homogeneous Dirichlet boundary conditions, assuming either that the normal part of velocity on the boundary is equal to zero or that the boundary data are small. We also relax the requirement concerning how to fix the pressure. Such a model has relevance to some important engineering applications. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2009
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