Instability of an Equilibrium State of Two Binary Mixtures with the General Interface and One Free Boundary

The stability of an interface of two binary mixtures under any perturbations is investigated. The dependence of the complex decrement on the wave number is deduced by means of a numerical method of orthogonalization. We show that the area of instability increases for not deformable interfaces at increase of the Marangoni number, too. The areas of stability of a system with growth thermal diffusion effects on an interface are determined.