A mathematician's perspective on the Oldroyd B model: Progress and future challenges

M Renardy, B Thomases - Journal of Non-Newtonian Fluid Mechanics, 2021 - Elsevier
We review progress and open challenges for a number of problems related to the Oldroyd B
model which are of current interest to the mathematical community. We discuss existence …

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 …

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 …

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 …

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 …

[PDF][PDF] Lp-theory for a class of viscoelastic fluids with and without a free surface

M Nesensohn - 2012 - tuprints.ulb.tu-darmstadt.de
This thesis deals with systems of nonlinear partial differential equations, which describe the
motion of a certain class of non-Newtonian fluids. More precisely, the considered fluids are …

Existence results for a polymer melt with an evolving natural configuration

JK Djoko, BD Reddy - Mathematical Models and Methods in Applied …, 2012 - World Scientific
We consider a set of equations governing the behavior of a polymer melt which is modeled
as a viscoelastic fluid possessing a natural, or stress-free state. The natural configuration is …

Résultats d'existence pour les écoulements réguliers de fluides viscoélastiques incompressibles à loi différentielle de type White–Metzner en dimension 3

L Molinet, R Talhouk - Comptes …, 2004 - comptes-rendus.academie-sciences …
Résumé Dans cette Note, nous présentons des résultats nouveaux d'existence et de
stabilité concernant des écoulements 3-D de fluides viscoélastiques incompressibles …

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