Smooth and convergent $\varepsilon$-approximations of the first boundary-value problem for the equations of Kelvin--Voight fluids and Oldroyd fluids
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 14, Tome 215 (1994), pp. 246-255

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In this paper we study the global classical solvability on the semiaxes $t\in\mathbb R^+$ of the first initial-boundary value problem for two-dimensional perturbed equations (11) and three-dimensional perturbed equations (12) and (13), and also we study the convergence for $\varepsilon\to0$ of solutions of all these perturbed problems to the classical solutions of the first boundaryvalue problem for the equations (8), (9) and (10). Bibliography: 10 titles.
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     title = {Smooth and convergent $\varepsilon$-approximations of the first boundary-value problem for the equations of {Kelvin--Voight} fluids and {Oldroyd} fluids},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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A. P. Oskolkov. Smooth and convergent $\varepsilon$-approximations of the first boundary-value problem for the equations of Kelvin--Voight fluids and Oldroyd fluids. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 14, Tome 215 (1994), pp. 246-255. http://geodesic.mathdoc.fr/item/ZNSL_1994_215_a15/