Symmetries and conservation laws of Navier-Stokes equations
type: Item
instance of: scholarly article
title: Symmetries and conservation laws of Navier-Stokes equations
zbMATH Open document ID: 0682.35086
DOI: 10.1007/BF00131930
author: V. N. Gusyatnikova
author: Valeriy Yumaguzhin
published in: Acta Applicandae Mathematicae
publication date: 1989-01-01T00:00:00Z
review text: By direct calculations it is proved that the algebra of all symmetries of Navier-Stokes equations consists only of the contact symmetries. It is also proved that the space of all conservation laws of these equations is generated by a ``generalised impulse'', the impulse moment and the quantity of substance conservation laws.
reviewed by: V. N. Gusyatnikova
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 4117087
zbMATH Keywords: symmetries
MaRDI profile type: Publication
cites work: Symmetries and conservation laws of partial differential equations: Basic notions and results
cites work: Local symmetries and conservation laws
cites work: The \({\mathcal C}\)-spectral sequence, Lagrangian formalism, and conservation laws. I: The linear theory
full work available at URL: https://doi.org/10.1007/bf00131930
OpenAlex ID: W4254441412
description: scientific article; zbMATH DE number 4117087