Stability of a phase boundary with heat and mass fluxes

This work focuses on the long-standing problem of stability of a phase boundary with heat and mass fluxes across it. Our theory resolves challenges not addressed before, including boundary conditions for thermal heat flux, structure of perturbation waves, and dependence of waves coupling on the system parameters. We find the interface stability in a broad range of parameters; discover new fluid instabilities in the advection, diffusion and low Mach regimes; and discuss the theory outcomes for experiments and simulations and for multiphase flows in nature and technology.