New version of the Lagrange approach to the dynamics of a viscous incompressible fluid
type: Item
instance of: scholarly article
title: New version of the Lagrange approach to the dynamics of a viscous incompressible fluid
zbMATH Open document ID: 0829.58037
DOI: 10.1007/BF02112472
author: Yuri E. Gliklikh
published in: Mathematical Notes
publication date: 1995-07-10T00:00:00Z
review text: The author describes a novel variant of the Lagrange approach to the dynamics of a viscous incompressible fluid based on constructions of stochastic differential geometry on diffeomorphism groups. In contrast to the well-known stochastic hydrodynamics, it is not assumed that there exist random perturbations of the exterior force acting on the fluid. A first version of that construction was already announced by the author in Usp. Mat. Nauk 45(6), 127-128 (1990).
Mathematics Subject Classification ID: 37N99
Mathematics Subject Classification ID: 76D99
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 58J65
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 58D25
Mathematics Subject Classification ID: 76M35
zbMATH DE Number: 771966
zbMATH Keywords: dynamics of a viscous incompressible fluid
zbMATH Keywords: stochastic differential geometry
reviewed by: Ralf Manthey
MaRDI profile type: Publication
cites work: Q4773411
cites work: Q5552132
cites work: Q3676873
cites work: Geometry of manifolds of maps
cites work: Mechanics on manifolds and the incorporation of spin into Nelson's stochastic mechanics
cites work: Q5523404
description: scientific article; zbMATH DE number 771966