Characteristics of the stability and acoustic properties of superheated liquid with gas nuclei under increasing pressure

The dynamics of weak harmonic disturbances in a superheated water-air bubble medium are studied when, in addition to water vapor, the bubbles contain an inert gas in that does not participate in phase transitions. Maps of the stability zones of the considered systems are analyzed with respect to the degree of liquid overheating on the plane, and the volumetric content is analyzed with respect to the radius of bubbles with an increase in equilibrium pressure from $0.1$ to $10$ MPa. The effects of the initial overheating (from hundredths to one degree) and pressure increase on the dispersion of harmonic waves, as well as the dependence of the increment on the bubble radius for unstable systems, are studied.