Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 14, Tome 215 (1994), pp. 246-255
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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/
@article{ZNSL_1994_215_a15,
author = {A. P. Oskolkov},
title = {Smooth and convergent $\varepsilon$-approximations of the first boundary-value problem for the equations of {Kelvin{\textendash}Voight} fluids and {Oldroyd} fluids},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {246--255},
year = {1994},
volume = {215},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1994_215_a15/}
}
TY - JOUR
AU - A. P. Oskolkov
TI - Smooth and convergent $\varepsilon$-approximations of the first boundary-value problem for the equations of Kelvin–Voight fluids and Oldroyd fluids
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1994
SP - 246
EP - 255
VL - 215
UR - http://geodesic.mathdoc.fr/item/ZNSL_1994_215_a15/
LA - ru
ID - ZNSL_1994_215_a15
ER -
%0 Journal Article
%A A. P. Oskolkov
%T Smooth and convergent $\varepsilon$-approximations of the first boundary-value problem for the equations of Kelvin–Voight fluids and Oldroyd fluids
%J Zapiski Nauchnykh Seminarov POMI
%D 1994
%P 246-255
%V 215
%U http://geodesic.mathdoc.fr/item/ZNSL_1994_215_a15/
%G ru
%F ZNSL_1994_215_a15
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.
