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Application of the decomposition method to the Navier-Stokes equations. (English) Zbl 0646.35063
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.
Reviewer: V.Korneev

35Q30Stokes and Navier-Stokes equations
35A20Analytic methods, singularities (PDE)
76D05Navier-Stokes equations (fluid dynamics)
Full Text: DOI
[1] Adomian, G.: Stochastic systems. (1983) · Zbl 0523.60056
[2] Adomian, G.: Nonlinear stochastic operator equations. (1986) · Zbl 0609.60072
[3] Bellman, R. E.; Adomian, G.: Partial differential equations: new methods for their treatment and application. (1985) · Zbl 0557.35003
[4] G. Adomian, ”Applications of Nonlinear Stochastic Systems Theory to Physics,” in press. · Zbl 0659.93003