Integral Boundary Layer Relations in the Theory of Wave Flows for Capillary Liquid Films / *V. Ya. Shkadov and A. N. Beloglazkin.* // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2017. № 6. P. 38-50
[Moscow Univ. Mech. Bulletin. Vol. 72, N 2, 2017. P. 133-144].

A generalized method of deriving the model equations is considered for wave flow regimes
in falling liquid films. The viscous liquid equations are used on the basis of integral boundary
layer relations with weight functions. A family of systems of evolution differential
equations is proposed. The integer parameter *n* of these systems specifies the number
of a weight function. The case *n*. Hence, the classical IBL model has an advantage over the WIBL models.

*Key words*:
nonlinear waves, instability, film, capillarity.