Group analysis of dynamic equations of non-Newtonian fluid
type: Item
instance of: scholarly article
title: Group analysis of dynamic equations of non-Newtonian fluid
zbMATH Open document ID: 1038.76005
author: S. L. Tonkonog
published in: Russian Mathematics
publication date: 2004-02-04T00:00:00Z
review text: The paper lacks an abstract or proper background which makes it difficult for the reader. Firstly, the author performs an approximate symmetry analysis of a first-order perturbed scalar partial differential equation which arises in non-Newtonian fluids. Approximate invariant solutions are constructed for first-order symmetries obtained. Then conditions under which the approximate symmetries are exact are considered as well as exact solutions. This work follows a similar study of a particular form of the same equation (see references cited in the paper). The reference list is inadequate and omits recent and related works.
Mathematics Subject Classification ID: 76A05
Mathematics Subject Classification ID: 76M60
Mathematics Subject Classification ID: 35A30
zbMATH DE Number: 1758699
zbMATH Keywords: exact symmetry analysis
zbMATH Keywords: approximate symmetry analysis
zbMATH Keywords: first-order perturbed scalar partial differential equation
zbMATH Keywords: first-order symmetries
MaRDI profile type: Publication
Recommended article: Q4336987
Recommended article: Applications of group theoretical methods to non-Newtonian fluid flow models: survey of results
Recommended article: Equations describing the dynamics of a non-Newtonian fluid with the Reiner-Rivlin rheological law. I: Group analysis
Recommended article: Group Analysis of Equations of Hydrostatic Model of Viscous Fluid
Recommended article: Group properties and exact solutions for two-dimensional flow of a non-newtonian fluid
Recommended article: Group-theoretical analysis of the equations of motion of a thixotropic fluid
Recommended article: Non-Newtonian fluids and stochastic analysis on the groups of diffeomorphisms
Recommended article: Analysis of fluid equations by group methods
Recommended article: Q4723466
description: scientific article; zbMATH DE number 1758699