Geodesic
2-dimensional streamwise periodical solutions of Navier–Stokes equations for plane channel
Matematičeskoe modelirovanie, Tome 19 (2007) no. 6, pp. 118-128 Cet article a éte moissonné depuis la source Math-Net.Ru

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Results of computer simulations are given for nonstationary viscous incompressible fluid flows in an infinite plane channel. Two-dimensional streamwise periodic solutions of the Navier–Stokes equations are investigated. It is shown that if the wave number $\alpha_0$ tends to zero the integral characteristics of the flows are no longer dependent on $\alpha_0$ and determined by the Reynolds number only. Nonuniqueness of secondary longwave flows is established. Regions of existence for the secondary flows with different $\alpha_0$ are studied. 
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     title = {2-dimensional streamwise periodical solutions of {Navier{\textendash}Stokes} equations for plane channel},
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S. G. Ponomarev; M. I. Stoynov. 2-dimensional streamwise periodical solutions of Navier–Stokes equations for plane channel. Matematičeskoe modelirovanie, Tome 19 (2007) no. 6, pp. 118-128. http://geodesic.mathdoc.fr/item/MM_2007_19_6_a9/

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