A mathematical model of the motion of a nonlinear viscous fluid with the condition of slip on the boundary
type: Item
instance of: scholarly article
title: A mathematical model of the motion of a nonlinear viscous fluid with the condition of slip on the boundary
zbMATH Open document ID: 1183.76616
DOI: 10.3103/S1066369X07050064
published in: Russian Mathematics
publication date: 2008-09-04T00:00:00Z
review text: Many authors mention the importance of the investigation of flows of non-Newtonian fluids with boundary conditions which differ from the classical non-slip conditions. Various mathematical models of nonlinear viscous fluid were investigated by \textit{V. G. Litvinov} [Motion of a nonlinear-viscous fluid. (Russian). Moskva: ``Nauka'' (1982; Zbl 0523.76004)]. This paper is devoted to the proof of the existence of weak solutions to the boundary value problem which describes the stationary motion of a nonlinear viscous fluid with the slip condition on the boundary. The results essentially improve some results of the above-cited monograph.
reviewed by: Elena Gavrilova
Mathematics Subject Classification ID: 76A05
Mathematics Subject Classification ID: 76D03
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 5320979
zbMATH Keywords: existence
zbMATH Keywords: weak solutions
author: Mikhail Kuzmin
MaRDI profile type: Publication
cites work: Q3674214
cites work: Comments on the validity of a common category of constitutive equations
cites work: Problem on stationary flow of electrorheological fluids under the conditions of nonhomogeneous temperature distribution
cites work: Nonlocal Continuum Field Theories
cites work: Q5332414
cites work: Q3992466
description: scientific article; zbMATH DE number 5320979