FPM 2006, vol. 12, no. 5, pp. 109-120

FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 5, PAGES 109-120

Equivalence of Navier--Stokes equation and infinite-dimensional Burgers equation

M. Y. Neklyudov

Abstract

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In this paper, we prove the equivalence of the Navier--Stokes equation and the infinite-dimensional Burgers-type equation with the Laplace--Lévy operator. An explicit formula for the solution of a certain system of linear equations arising in studying the circulation of the solution of the Navier--Stokes equation is presented.

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