Interphase stability of stratified viscous liquidus for the Quett flow

An accurate long-wave asymptotics of a problem related to interphase stability of two-layer system of Newton liquids of different viscosity and low depth under Quett flow is constructed. It is shown that the dispersion ratio for a complex perturbation wave velocity loads like a wave number decomposition by fractional powers multiple to 1/3. New stability criteria, ones, are found. A physical picture of interphase perturbations is constructed. 7 refs