Influence of vibrations on convective instability of polymerization fronts

Propagation of polymerization fronts with liquid monomer and solid polymer is considered, and the influence of vibrations on critical conditions of convective instability is studied. The model includes the heat equation, the equation for the concentration and the Navier-Stokes equations considered under the Boussinesq approximation. Linear stability analysis of the problem is fulfilled, and the convective instability boundary is found depending on the amplitude and on the frequency of vibrations