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 …

How Flexible Is the Concept of Local Thermodynamic Equilibrium?

VM Tangde, AA Bhalekar - Entropy, 2023 - mdpi.com
It has been demonstrated by using generalized phenomenological irreversible
thermodynamic theory (GPITT) that by replacing the conventional composition variables {xk} …

Actin-myosin spatial patterns from a simplified isotropic viscoelastic model

OL Lewis, RD Guy, JF Allard - Biophysical journal, 2014 - cell.com
F-actin networks are involved in cell mechanical processes ranging from motility to
endocytosis. The mesoscale architecture of assemblies of individual F-actin polymers that …

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 …

Dissipativity of the linearly implicit Euler scheme for Navier‐Stokes equations with delay

W Wang - Numerical Methods for Partial Differential Equations, 2017 - Wiley Online Library
In this article, we study the dissipativity of the linearly implicit Euler scheme for the 2D Navier‐
Stokes equations with time delay volume forces (NSD). This scheme can be viewed as an …

[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 …

Global Well-Posedness to the n-Dimensional Compressible Oldroyd-B Model Without Damping Mechanism

X Zhai, ZM Chen - Journal of Dynamics and Differential Equations, 2024 - Springer
We are concerned with the global well-posedness to the compressible Oldroyd-B model
without a damping term in the stress tensor equation. By exploiting the intrinsic structure of …

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 …

Étude mathématique d'écoulements de fluides viscoélastiques dans des domaines singuliers

Z Salloum - 2008 - theses.hal.science
Cette thèse est consacrée à l'analyse mathématique de trois problèmes d'écoulements de
fluides viscoélastiques de type Oldroyd. Tout d'abord, nous étudions des écoulements …