Geodesic
New estimates for the Navier--Stokes equations and globally steady approximations
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 24, Tome 200 (1992), pp. 98-109

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For the two-dimentional Navier–Stokes equations and a number of their globally steady approximations (Galerkin–Faedo method, discrete in time Galerkin–Faedo method, implicit finite-difference methods ($19_i$)) there obtained new a priori estimates which prove existence of a compact minimal global $B$-attractor for the Navier–Stokes equations (this fact was first proved by the author in 1972, see [1]) as well as for the approximations mentioned. Similar results for many problems of the viscous incompressible fluid theory and continuum mechanics are valid. 
@article{ZNSL_1992_200_a9,
     author = {O. A. Ladyzhenskaya},
     title = {New estimates for the {Navier--Stokes} equations and globally steady approximations},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {98--109},
     publisher = {mathdoc},
     volume = {200},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1992_200_a9/}
}
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O. A. Ladyzhenskaya. New estimates for the Navier--Stokes equations and globally steady approximations. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 24, Tome 200 (1992), pp. 98-109. http://geodesic.mathdoc.fr/item/ZNSL_1992_200_a9/