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Steady flow of non-Newtonian fluids - monotonicity methods in generalized orlicz spaces
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SYSNO ASEP 0355502 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Steady flow of non-Newtonian fluids - monotonicity methods in generalized orlicz spaces Author(s) Wróblewska, Aneta (MU-W) Source Title Nonlinear Analysis: Theory, Methods & Applications. - : Elsevier - ISSN 0362-546X
Roč. 72, č. 11 (2010), s. 4136-4147Number of pages 12 s. Language eng - English Country GB - United Kingdom Keywords non-Newtonian fluid ; Orlicz spaces ; modular convergence of symmetric gradients ; generalized Minty method ; smart fluids Subject RIV BA - General Mathematics CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000277277500024 EID SCOPUS 77949484676 DOI 10.1016/j.na.2010.01.045 Annotation Our purpose is to show the existence of weak solutions to steady flow of non-Newtonian incompressible fluids with nonstandard growth conditions of the Cauchy stress tensor. We are motivated by the fluids of strongly inhomogeneous behavior and characterized by rapid shear thickening. Since LP framework is not sufficient to capture the described model, we describe the growth conditions with the help of a general x-dependent convex function and formulate our problem in generalized Orlicz spaces. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2011
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