Vv. Bychkov et al., ON THE STABILITY OF COMBUSTION AND LASER-PRODUCED ABLATION FRONTS, Physics of fluids. B, Plasma physics, 5(10), 1993, pp. 3822-3824
A correct approach to the problem of a reduction of the growth rate of
the Rayleigh-Taylor (RT) instability in an ablation wave is demonstra
ted in this paper by considering a slow combustion wave in a gravitati
onal field. It is shown that both the supplementary condition required
in the model of discontinuity and the reduction of the instability gr
owth rate can be obtained only by solving the complete system of equat
ions, including the equation of thermal conductivity and energy releas
e which are responsible for the wave propagation and the finite thickn
ess of the wave front. The point is that there is no stabilization of
the growth rate of RT instability by a mass flow in the limit of zero
thickness or the wave front. The reduction of the growth rate can be o
btained rigorously for a finite thickness of the wave front only.