On steady motion of viscoelastic fluid of Oldroyd type
type: Item
instance of: scholarly article
title: On steady motion of viscoelastic fluid of Oldroyd type
zbMATH Open document ID: 1307.35209
author: E. S. Baranovskii
published in: Sbornik: Mathematics
publication date: 2014-09-30T00:00:00Z
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 76A10
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 6349850
zbMATH Keywords: non-Newtonian fluids
zbMATH Keywords: viscoelastic media
zbMATH Keywords: Oldroyd model
zbMATH Keywords: Navier slip condition
zbMATH Keywords: channel flow
MaRDI profile type: Publication
DOI: 10.1070/SM2014V205N06ABEH004397
review text: The author considers steady flow of a viscoelastic fluid of Oldroyd type with the regularized Jaumann derivative. Assuming the slip boundary conditions on the fixed walls, the author proves the existence of a solution to the corresponding system of partial differential equations. Additionally, he shows that the set of solutions is sequentially weakly closed. The proof is based on the fact that it is possible to obtain a priori estimates for the velocity and the elastic component of the shear stress.NEWLINENEWLINENext, he studies the flow of this fluid in an infinite channel with flat walls under slip boundary conditions and constructs analytically the solution to this problem.
reviewed by: Milan Pokorný
description: scientific article; zbMATH DE number 6349850