Wave flows of a thin liquid film in reduced gravity

The asymptotic small-parameter method is used to investigate the stationary weakly nonlinear periodic regimes of a nonlinear evolutionary equation describing the flow of thin layers of a viscous fluid on an inclined plane at low film Reynolds numbers in reduced gravity. It is shown that the physical properties of the fluid and the regime parameters uniquely and fully determine the principal characteristics of such regimes. Approximate dependences of phase velocity, amplitude and wave number on Re/Fi exp 1/11 are presented, where Re is the film Reynolds number and Fi is the film number of the fluid investigated.