Steady flow of non-Newtonian fluids - monotonicity methods in generalized orlicz spaces

0355502 - MÚ 2011 RIV GB eng J - Journal Article
Wróblewska, Aneta
Steady flow of non-Newtonian fluids - monotonicity methods in generalized orlicz spaces.
Nonlinear Analysis: Theory, Methods & Applications. Roč. 72, č. 11 (2010), s. 4136-4147. ISSN 0362-546X. E-ISSN 1873-5215
Institutional research plan: CEZ:AV0Z10190503
Keywords : non-Newtonian fluid * Orlicz spaces * modular convergence of symmetric gradients * generalized Minty method * smart fluids
Subject RIV: BA - General Mathematics
Impact factor: 1.279, year: 2010
http://www.sciencedirect.com/science/article/pii/S0362546X10000568

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.
Permanent Link: http://hdl.handle.net/11104/0194255