Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 23, Tome 210 (1994), pp. 109-124
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A. A. Kotsiolis. Time-periodic solutions of the dissipative $\varepsilon$-approximations for the modified Navies–Stokes equations. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 23, Tome 210 (1994), pp. 109-124. http://geodesic.mathdoc.fr/item/ZNSL_1994_210_a9/
@article{ZNSL_1994_210_a9,
author = {A. A. Kotsiolis},
title = {Time-periodic solutions of the dissipative $\varepsilon$-approximations for the modified {Navies{\textendash}Stokes} equations},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {109--124},
year = {1994},
volume = {210},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1994_210_a9/}
}
TY - JOUR
AU - A. A. Kotsiolis
TI - Time-periodic solutions of the dissipative $\varepsilon$-approximations for the modified Navies–Stokes equations
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1994
SP - 109
EP - 124
VL - 210
UR - http://geodesic.mathdoc.fr/item/ZNSL_1994_210_a9/
LA - ru
ID - ZNSL_1994_210_a9
ER -
%0 Journal Article
%A A. A. Kotsiolis
%T Time-periodic solutions of the dissipative $\varepsilon$-approximations for the modified Navies–Stokes equations
%J Zapiski Nauchnykh Seminarov POMI
%D 1994
%P 109-124
%V 210
%U http://geodesic.mathdoc.fr/item/ZNSL_1994_210_a9/
%G ru
%F ZNSL_1994_210_a9
The existence of a time-periodic solutions of the perturbed equations (3), (4), (5) and (6) satisfying a free surface condition (9) is proved. It is shown that for $\varepsilon\to0$ the solutions $\{v^\varepsilon\}$ of these problems tends to the solutions of analogous problems for the modified Navies–Stokes equations (1) and (2). Bibliography: 12 titles.
