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
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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.
@article{ZNSL_1994_210_a9,
author = {A. A. Kotsiolis},
title = {Time-periodic solutions of the dissipative $\varepsilon$-approximations for the modified {Navies--Stokes} equations},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {109--124},
publisher = {mathdoc},
volume = {210},
year = {1994},
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 PB - mathdoc 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 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_1994_210_a9/ %G ru %F ZNSL_1994_210_a9
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/