Geodesic
Equivalence of Navier--Stokes equation and infinite-dimensional Burgers equation
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 5, pp. 109-120

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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. 
@article{FPM_2006_12_5_a9,
     author = {M. Yu. Neklyudov},
     title = {Equivalence of {Navier--Stokes} equation and infinite-dimensional {Burgers} equation},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {109--120},
     publisher = {mathdoc},
     volume = {12},
     number = {5},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2006_12_5_a9/}
}
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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/