Random diffeomorphisms and integration of the classical Navier-Stokes equations
type: Item
instance of: scholarly article
title: Random diffeomorphisms and integration of the classical Navier-Stokes equations
zbMATH Open document ID: 1004.60060
DOI: 10.1016/S0034-4877(02)80002-7
author: Diego L. Rapoport
published in: Reports on Mathematical Physics
publication date: 2003-02-01T00:00:00Z
review text: The author employs stochastic flows in order to obtain implicit representations for solutions of the Navier-Stokes equation for an incompressible viscous fluid in a smooth manifold which is isometrically embedded in the Euclidean space. Among technical tools are the Itô formula for diffusions on differential forms and gauge theoretical consideration. The results are viewed as an extension to smooth manifolds of the random vertex method of computational fluid dynamics.
reviewed by: Yuri Kifer
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 37H99
Mathematics Subject Classification ID: 60H30
Mathematics Subject Classification ID: 58J65
Mathematics Subject Classification ID: 58J05
zbMATH DE Number: 1786197
zbMATH Keywords: Navier-Stokes equation
zbMATH Keywords: stochastic flows
MaRDI profile type: Publication
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full work available at URL: s0034-4877(02)80002-7
OpenAlex ID: W2025758677
description: scientific article; zbMATH DE number 1786197