Geodesic
Equivalence of Navier–Stokes equation and infinite-dimensional Burgers equation
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 5, pp. 109-120 
M. Yu. Neklyudov. Equivalence of Navier–Stokes equation and infinite-dimensional Burgers equation. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 5, pp. 109-120. http://geodesic.mathdoc.fr/item/FPM_2006_12_5_a9/
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     title = {Equivalence of {Navier{\textendash}Stokes} equation and infinite-dimensional {Burgers} equation},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2006_12_5_a9/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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