Mathematical problems in classical and non-Newtonian fluid mechanics

GP Galdi, AM Robertson, R Rannacher, S Turek… - … : modeling, analysis and …, 2008 - Springer
Mathematical Problems in Classical and Non-Newtonian Fluid Mechanics Page 1
Hemodynamical Flows. Modeling, Analysis and Simulation Oberwolfach Seminars, Vol. 37 …

Mathematical analysis of viscoelastic fluids

M Renardy - Handbook of differential equations: evolutionary …, 2008 - Elsevier
Publisher Summary This chapter focuses on the equations arising from the modeling of
viscoelastic polymeric liquids. This means that a sizable mathematical literature on other …

Global existence results for Oldroyd fluids with wall slip

ES Baranovskii, MA Artemov - Acta Applicandae Mathematicae, 2017 - Springer
We investigate the system of nonlinear partial differential equations governing the unsteady
motion of an incompressible viscoelastic fluid of Oldroyd type in a bounded domain under …

Strong steady solutions for a generalized Oldroyd-B model with shear-dependent viscosity in a bounded domain

N Arada, A Sequeira - … Models and Methods in Applied Sciences, 2003 - World Scientific
We study a system of nonlinear partial differential equations governing the motion of an
incompressible viscoelastic fluid of Oldroyd type in a bounded domain, with a non …

On flows of viscoelastic fluids of Oldroyd type with wall slip

C Le Roux - Journal of Mathematical Fluid Mechanics, 2014 - Springer
We consider the boundary-value problem for the steady isothermal flow of an
incompressible viscoelastic liquid of Oldroyd type in a bounded domain with a Navier type …

Steady flows of slightly compressible viscoelastic fluids of Jeffreys' type around an obstacle

C Guillopé, R Talhouk - 2003 - projecteuclid.org
We consider steady flows of slightly compressible viscoelastic fluids for which the extra-
stress tensor is given by a differential constitutive equation. We examine the effect, on the …

Steady flows of shear-dependent Oldroyd-B fluids around an obstacle

N Arada, A Sequeira - Journal of Mathematical Fluid Mechanics, 2005 - Springer
This work is concerned with the study of steady flows of an incompressible viscoelastic fluid
of Oldroyd type, with viscosity depending on the second invariant of the rate of deformation …

[PDF][PDF] Обзор результатов и открытых проблем по математическим моделям движения вязкоупругих сред типа Джеффриса

ДА Воротников, ВГ Звягин - … государственного университета. Серия …, 2009 - vestnik.vsu.ru
Среди моделей движения вязкоупругих сред одно из центральных мест занимает
модель, которая в различной литературе называется либо моделью Джеффриса, либо …

Asymptotic behaviour, with respect to the isothermal compressibility coefficient, for steady flows of weakly compressible viscoelastic fluids

C Guillopé, A Mneimné, R Talhouk - Asymptotic Analysis, 2003 - content.iospress.com
In this paper, we study the behaviour, in terms of compressibility, of steady flows of weakly
compressible viscoelastic fluids having a differential constitutive law. The models …

Existence results for flows of slightly compressible viscoelastic fluids in a bounded domain with corners

C Guillope, Z Salloum, R Talhouk - Analysis and Applications, 2012 - World Scientific
Steady flows of slightly compressible viscoelastic fluids of Oldroyd's type with zero boundary
conditions are considered on a bounded two-dimensional domain with an isolated corner …