On weak solutions for some model of motion of nonlinear viscoelastic fluid
type: Item
instance of: scholarly article
title: On weak solutions for some model of motion of nonlinear viscoelastic fluid
zbMATH Open document ID: 0961.76007
DOI: 10.12775/TMNA.1999.035
author: V. G. Zvyagin
author: V. T. Dmitrienko
published in: Topological Methods in Nonlinear Analysis
publication date: 2001-05-20T00:00:00Z
review text: The authors consider an initial-boundary value problem for a nonlinear incompressible viscoelastic fluid. The corresponding constitutive equation generalizes the Oldroyd model describing both laminar and turbulent flows. It is assumed that the non-slip condition holds on a part of the boundary, and another part of the boundary undergoes the action of a force acting on the fluid surface. The problem is rewritten in an equivalent operator form, and the properties of the corresponding operator are investigated. The existence theorem is proved by using approximating operator equations.
Mathematics Subject Classification ID: 76A10
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 1507584
zbMATH Keywords: generalized Oldroyd equation
zbMATH Keywords: operator equation
zbMATH Keywords: nonlinear incompressible viscoelastic fluid
zbMATH Keywords: initial-boundary value problem
zbMATH Keywords: non-slip condition
zbMATH Keywords: approximating operator equations
reviewed by: P. B. Dubovski
MaRDI profile type: Publication
full work available at URL: tmna.1999.035
OpenAlex ID: W2548049993
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description: scientific article; zbMATH DE number 1507584