Application of the decomposition method to the Navier-Stokes equations
type: Item
instance of: scholarly article
title: Application of the decomposition method to the Navier-Stokes equations
zbMATH Open document ID: 0646.35063
DOI: 10.1016/0022-247X(86)90160-5
author: B. George
published in: Journal of Mathematical Analysis and Applications
publication date: 1986-01-01T00:00:00Z
review text: The article is devoted to the decomposition method for Navier-Stokes equations in which the solution of the problem is reduced to some analytical recurrent relations. By the author's opinion this method allows to obtain ``continuous verifiable analytic solutions without massive printouts and restrictive assumptions''. The description of the method starts from simple examples which are gradually more complicated. The last part of the article is devoted to stochastic models of the problem. For examples of solved problems the author refers to his book ``Applications of nonlinear stochastic systems theory to physics'', which is now in press.
reviewed by: Vladimir D. Korneev
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35A20
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 4054191
zbMATH Keywords: analytical recurrent relations
zbMATH Keywords: analytic solutions
zbMATH Keywords: stochastic models
MaRDI profile type: Publication
cites work: Inversion of nonlinear stochastic operators
cites work: Nonlinear equations with mixed derivatives
cites work: Q3222535
cites work: Q4040348
description: scientific article; zbMATH DE number 4054191