Geodesic
Symmetric approximations of the~Navier--Stokes equations
Sbornik. Mathematics, Tome 193 (2002) no. 7, pp. 1027-1047

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A new method for the symmetric approximation of the non-stationary Navier–Stokes equations by a Cauchy–Kovalevskaya-type system is proposed. Properties of the modified problem are studied. In particular, the convergence as $\varepsilon\to0$ of the solutions of the modified problem to the solutions of the original problem on an infinite interval is established. 
@article{SM_2002_193_7_a3,
     author = {G. M. Kobel'kov},
     title = {Symmetric approximations of {the~Navier--Stokes} equations},
     journal = {Sbornik. Mathematics},
     pages = {1027--1047},
     publisher = {mathdoc},
     volume = {193},
     number = {7},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2002_193_7_a3/}
}
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G. M. Kobel'kov. Symmetric approximations of the~Navier--Stokes equations. Sbornik. Mathematics, Tome 193 (2002) no. 7, pp. 1027-1047. http://geodesic.mathdoc.fr/item/SM_2002_193_7_a3/