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 …

Unsteady two-layered blood flow through a-shaped stenosed artery using the generalized oldroyd-b fluid model

A Zaman, N Ali, OA Bég, M Sajid - The ANZIAM Journal, 2016 - cambridge.org
A theoretical study of an unsteady two-layered blood flow through a stenosed artery is
presented in this article. The geometry of a rigid stenosed artery is assumed to be-shaped …

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 …

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 …

A note on the regularity of flows with shear-dependent viscosity

N Arada - Nonlinear Analysis: Theory, Methods & Applications, 2012 - Elsevier
We consider a non-Newtonian fluid governed by stationary, incompressible Navier–Stokes
equations with shear-dependent viscosity. Using a fixed point argument in an appropriate …

Lp-theory for a generalized nonlinear viscoelastic fluid model of differential type in various domains

M Geissert, D Götz, M Nesensohn - Nonlinear Analysis: Theory, Methods & …, 2012 - Elsevier
This paper studies a coupled system of hyperbolic and parabolic equations governing the
motion of viscoelastic, incompressible fluids on various domains. The model under …

[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 …

Physiological flow of shear-thinning viscoelastic fluid past an irregular arterial constriction

Sarifuddin, S Chakravarty, PK Mandal - Korea-Australia rheology journal, 2013 - Springer
The present investigation deals with the effect of the shape of a stenosis on the flow
characteristics of blood, having shear-thinning viscoelastic rheological properties by using a …

[PDF][PDF] On non-Newtonian fluids with convective effects

S Herron, EJ Villamizar-Roa - 2017 - digital.library.txstate.edu
We study a system of partial differential equations describing a steady thermoconvective
flow of a non-Newtonian fluid. We assume that the stress tensor and the heat flux depend on …

[引用][C] Lp theory for a generalized Oldroyd-B model