Geodesic
Stability theory for a two-dimensional channel
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 8, pp. 1331-1346

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A scheme for deriving conditions for the nonlinear stability of an ideal or viscous incompressible steady flow in a two-dimensional channel that is periodic in one direction is described. A lower bound for the main factor ensuring the stability of the Reynolds–Kolmogorov sinusoidal flow with no-slip conditions (short wavelength stability) is improved. A condition for the stability of a vortex strip modeling Richtmyer–Meshkov fluid vortices (long wavelength stability) is presented. 
@article{ZVMMF_2017_57_8_a8,
     author = {O. V. Troshkin},
     title = {Stability theory for a two-dimensional channel},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1331--1346},
     publisher = {mathdoc},
     volume = {57},
     number = {8},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_8_a8/}
}
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O. V. Troshkin. Stability theory for a two-dimensional channel. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 8, pp. 1331-1346. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_8_a8/