This article is cited in 3 papers

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

M. Yu. Neklyudov

M. V. Lomonosov Moscow State University

Abstract: 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.

UDC: 517.958+519.217.4

 English version: Journal of Mathematical Sciences (New York), 2008, 150:6, 2531–2539

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