Geodesic
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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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{\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/}
}
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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/