Abstract
The problem of rolling waves in a sheet of fluid flowing in a vertical plane [1] is treated on the basis of the complete Navier-Stokes equations with conditions on the unknown free boundary. The existence of a one-parameter family of rolling waves, bifurcating from the Poiseuille flow, is proved.
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 5, pp. 47–58, September–October, 1975.
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Pukhnachev, V.V. On the theory of rolling waves. J Appl Mech Tech Phys 16, 703–712 (1975). https://doi.org/10.1007/BF00854080
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DOI: https://doi.org/10.1007/BF00854080