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.

Location: http://mech.math.msu.su/~fpm/eng/k06/k065/k06510h.htm

Last modified: February 21, 2007