Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 25, Tome 213 (1994), pp. 116-130
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A. P. Oskolkov. Time periodic solutions of the smooth convergent and dissipative $\varepsilon$-approximations for the modified Navier–Stokes equations.. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 25, Tome 213 (1994), pp. 116-130. http://geodesic.mathdoc.fr/item/ZNSL_1994_213_a6/
@article{ZNSL_1994_213_a6,
author = {A. P. Oskolkov},
title = {Time periodic solutions of the smooth convergent and dissipative $\varepsilon$-approximations for the modified {Navier{\textendash}Stokes} equations.},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {116--130},
year = {1994},
volume = {213},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1994_213_a6/}
}
TY - JOUR
AU - A. P. Oskolkov
TI - Time periodic solutions of the smooth convergent and dissipative $\varepsilon$-approximations for the modified Navier–Stokes equations.
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1994
SP - 116
EP - 130
VL - 213
UR - http://geodesic.mathdoc.fr/item/ZNSL_1994_213_a6/
LA - ru
ID - ZNSL_1994_213_a6
ER -
%0 Journal Article
%A A. P. Oskolkov
%T Time periodic solutions of the smooth convergent and dissipative $\varepsilon$-approximations for the modified Navier–Stokes equations.
%J Zapiski Nauchnykh Seminarov POMI
%D 1994
%P 116-130
%V 213
%U http://geodesic.mathdoc.fr/item/ZNSL_1994_213_a6/
%G ru
%F ZNSL_1994_213_a6
In this paper we prove global existence of time-periodic classical solutions $v^\varepsilon$ of dissipative $\varepsilon$-approximations (4)–(6) for three-dimensional modified Navier–Stokes equations (1)–(3) satysfying a first boundary condition, and also we study the convergence for $\varepsilon\to0$ of solutions $\{v^\varepsilon\}$ to time-periodic classical solutions $v$ of equations (1)–(3) respectively. Bibliography: 21 titles.
