On~uniqueness of the~solution of the~chain of~moment equations corresponding to the three-dimensional Navier--Stokes system
Sbornik. Mathematics, Tome 62 (1989) no. 2, pp. 465-490
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A theorem is proved on the uniqueness of the solution of the Cauchy problem for the chain of equations for the spatial moments corresponding to smooth solutions of the three-dimensional Navier–Stokes system in the case of any Reynolds numbers. By means of the uniqueness theorem it is proved that any solution of the chain of moment equations belonging to an appropriate function space forms a positive-definite system of moments for any time $t>0$ if its initial value was positive definite.
Bibliography: 11 titles.
@article{SM_1989_62_2_a8,
author = {A. V. Fursikov},
title = {On~uniqueness of the~solution of the~chain of~moment equations corresponding to the three-dimensional {Navier--Stokes} system},
journal = {Sbornik. Mathematics},
pages = {465--490},
publisher = {mathdoc},
volume = {62},
number = {2},
year = {1989},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1989_62_2_a8/}
}
TY - JOUR AU - A. V. Fursikov TI - On~uniqueness of the~solution of the~chain of~moment equations corresponding to the three-dimensional Navier--Stokes system JO - Sbornik. Mathematics PY - 1989 SP - 465 EP - 490 VL - 62 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_1989_62_2_a8/ LA - en ID - SM_1989_62_2_a8 ER -
%0 Journal Article %A A. V. Fursikov %T On~uniqueness of the~solution of the~chain of~moment equations corresponding to the three-dimensional Navier--Stokes system %J Sbornik. Mathematics %D 1989 %P 465-490 %V 62 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/SM_1989_62_2_a8/ %G en %F SM_1989_62_2_a8
A. V. Fursikov. On~uniqueness of the~solution of the~chain of~moment equations corresponding to the three-dimensional Navier--Stokes system. Sbornik. Mathematics, Tome 62 (1989) no. 2, pp. 465-490. http://geodesic.mathdoc.fr/item/SM_1989_62_2_a8/