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Regular version of the site

Article

Nonlinear standing waves on the surface of a viscous fluid

Fluid Dynamics. 2012. Vol. 47. No. 6. P. 725-734.
Abrashkin A. A., Bodunova Y. P.

Standing surface waves in a viscous infinite-depth fluid are studied. The solution of the problem is obtained in the linear and quadratic approximations. The case of long, as compared with the boundary layer thickness, waves is analyzed in detail. The trajectories of fluid particles are determined and an expression for the vorticity is derived.