On unsteady flows of implicitly constituted incompressible fluids

M Bulicek, P Gwiazda, J Málek… - SIAM Journal on …, 2012 - SIAM
We consider unsteady flows of incompressible fluids with a general implicit constitutive
equation relating the deviatoric part of the Cauchy stress S and the symmetric part of the …

Weak-strong uniqueness for measure-valued solutions of some compressible fluid models

P Gwiazda, A Świerczewska-Gwiazda… - …, 2015 - iopscience.iop.org
We prove weak-strong uniqueness in the class of admissible measure-valued solutions for
the isentropic Euler equations in any space dimension and for the Savage–Hutter model of …

On non-Newtonian fluids with a property of rapid thickening under different stimulus

P Gwiazda, A Świerczewska-Gwiazda - Mathematical Models and …, 2008 - World Scientific
The paper concerns the model of a flow of non-Newtonian fluid with nonstandard growth
conditions of the Cauchy stress tensor. Contrary to standard power-law type rheology, we …

Finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology

L Diening, C Kreuzer, E Suli - SIAM Journal on Numerical Analysis, 2013 - SIAM
We develop the analysis of finite element approximations of implicit power-law-like models
for viscous incompressible fluids. The Cauchy stress and the symmetric part of the velocity …

Monotonicity methods in generalized Orlicz spaces for a class of non‐Newtonian fluids

P Gwiazda, A Świerczewska‐Gwiazda… - … methods in the …, 2010 - Wiley Online Library
The paper concerns existence of weak solutions to the equations describing a motion of
some non‐Newtonian fluids with non‐standard growth conditions of the Cauchy stress …

Nonlinear parabolic problems in Musielak–Orlicz spaces

A Świerczewska-Gwiazda - Nonlinear Analysis: Theory, Methods & …, 2014 - Elsevier
Our studies are directed to the existence of weak solutions to a parabolic problem containing
a multi-valued term. The problem is formulated in the language of maximal monotone …

On steady flows of incompressible fluids with implicit power-law-like rheology

M Bulíček, P Gwiazda, J Málek… - 2009 - degruyter.com
We consider steady flows of incompressible fluids with power-law-like rheology given by an
implicit constitutive equation relating the Cauchy stress and the symmetric part of the velocity …

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

A Wróblewska - Nonlinear Analysis: Theory, Methods & Applications, 2010 - Elsevier
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 …

On renormalized solutions to elliptic inclusions with nonstandard growth

A Denkowska, P Gwiazda, P Kalita - Calculus of Variations and Partial …, 2021 - Springer
We study the elliptic inclusion given in the following divergence form &-div\, A (x, ∇ u) ∋
f\quad in\quad Ω,\&u= 0\quad on\quad ∂ Ω.-div A (x,∇ u)∋ f in Ω, u= 0 on∂ Ω. As we …

[PDF][PDF] Finite element approximation for the unsteady flow of implicitly constituted incompressible fluids

T Tscherpel - 2018 - ora.ox.ac.uk
This thesis provides qualitative convergence results of a sequence of numerical
approximate solutions for the flow of incompressible fluids subject to an implicit constitutive …