Effect of evaporation and diffusion of a surface-active material on instability of flow down liquid film / S. V. Gerasimov, E. I. Mogilevskii, V. P. Shkadova. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2013. ? 2. P. 33-38 [Moscow Univ. Math. Bulletin. Vol. 68, N 2, 2013.].

The linear stability of a flowing-down film of a surface-active solute in the region of active evaporation is analyzed. The phase velocities and the gain coefficients are calculated for the hydrodynamic and diffusion modes of disturbances.

Key words: flowing-down film, surface-active solute, hydrodynamic instability, Marangoni effect.