Analogues of the Lagrange theorem in the hydrodynamics of whirling and stratified liquids
type: Item
instance of: scholarly article
title: Analogues of the Lagrange theorem in the hydrodynamics of whirling and stratified liquids
zbMATH Open document ID: 0629.76122
DOI: 10.1016/0021-8928(86)90028-6
author: B. George
published in: Journal of Applied Mathematics and Mechanics
publication date: 1986-01-01T00:00:00Z
review text: Assertions of the type of Lagrange's theorem are presented for three new classes of flows of an ideal incompressible liquid. The rest states of a liquid which is inhomogeneous with respect to its density (continuously stratified) and located in an external field of mass forces comprise the first class. Certain rotating flows of a liquid which is homogeneous with respect to its density belong to the second and third classes. Unlike the situations which have been studied previously, flows belonging to the second and third classes are not states of relative or absolute rest and do not possess free boundaries. At the same time the formulations and proofs of the assertions are practically repeats of one another for all three cases. The question of the existence of an analogue of Lagrange's theorem in hydrodynamics has been studied in a number of papers.
Mathematics Subject Classification ID: 76U05
Mathematics Subject Classification ID: 76A02
Mathematics Subject Classification ID: 76Bxx
zbMATH DE Number: 4025081
zbMATH Keywords: ideal incompressible
zbMATH Keywords: liquid
zbMATH Keywords: Lagrange's theorem
zbMATH Keywords: flows of an ideal incompressible liquid
zbMATH Keywords: rotating flows
MaRDI profile type: Publication
full work available at URL: 0021-8928(86)90028-6
OpenAlex ID: W1993290313
cites work: Stability of motion
cites work: Q5719572
cites work: Q3264695
cites work: Q3049971
cites work: Q5516802
cites work: Q3792301
cites work: Q3943693
description: scientific article; zbMATH DE number 4025081