Abstract
Solutions of the two-dimensional initial boundary-value problem for the Navier-Stokes equations are approximated by solutions of the initial boundary-value problem
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We study the proximity of the solutions of these problems in suitable norms and also the proximity of their minimal global B-attractors. Similar results are valid for two-dimensional equations of motion of the Oldroyd fluids (see Eqs. (38) and (41)) and for three-dimensional equations of motion of the Kelvin-Voight fluids (see Eqs. (39) and (43)). Bibliography: 17 titles.
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Translated by F. V. Andreev.
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 202, 1992, pp. 158–184.
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Oskolkov, A.P. On semilinear dissipative systems of equations with a small parameter that arise in solution of the Navier-Stokes equations, equation of motion of the Oldroyd fluids, and equations of motion of the Kelvin-Voight fluids. J Math Sci 79, 1129–1145 (1996). https://doi.org/10.1007/BF02366134
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DOI: https://doi.org/10.1007/BF02366134