Geodesic
2-dimensional streamwise periodical solutions of Navier--Stokes equations for plane channel
Matematičeskoe modelirovanie, Tome 19 (2007) no. 6, pp. 118-128

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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. 
@article{MM_2007_19_6_a9,
     author = {S. G. Ponomarev and M. I. Stoynov},
     title = {2-dimensional streamwise periodical solutions of {Navier--Stokes} equations for plane channel},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {118--128},
     publisher = {mathdoc},
     volume = {19},
     number = {6},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2007_19_6_a9/}
}
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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/