Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part X, Tome 219 (1994), pp. 186-212
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A. P. Oskolkov. Smooth and convergent $\varepsilon$-approximations of the first initial boundary-value problem for the equations of Kelvin–Voight fluids. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part X, Tome 219 (1994), pp. 186-212. http://geodesic.mathdoc.fr/item/ZNSL_1994_219_a8/
@article{ZNSL_1994_219_a8,
author = {A. P. Oskolkov},
title = {Smooth and convergent $\varepsilon$-approximations of the first initial boundary-value problem for the equations of {Kelvin{\textendash}Voight} fluids},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {186--212},
year = {1994},
volume = {219},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1994_219_a8/}
}
TY - JOUR
AU - A. P. Oskolkov
TI - Smooth and convergent $\varepsilon$-approximations of the first initial boundary-value problem for the equations of Kelvin–Voight fluids
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1994
SP - 186
EP - 212
VL - 219
UR - http://geodesic.mathdoc.fr/item/ZNSL_1994_219_a8/
LA - ru
ID - ZNSL_1994_219_a8
ER -
%0 Journal Article
%A A. P. Oskolkov
%T Smooth and convergent $\varepsilon$-approximations of the first initial boundary-value problem for the equations of Kelvin–Voight fluids
%J Zapiski Nauchnykh Seminarov POMI
%D 1994
%P 186-212
%V 219
%U http://geodesic.mathdoc.fr/item/ZNSL_1994_219_a8/
%G ru
%F ZNSL_1994_219_a8
In this paper we study the global classical solvability of the first initial boundary-value problem for the three-dimensional perturbed equations (33), (34), (38) and (39), and also we study the convergence as $\varepsilon\to0$ of solutions of all these perturbed problems to the classical solutions of the first initial boundary-value problem for the equations (1) and (2). Bibliography: 19 titles.
