Abstract
In this study, a model for development of Rayleigh-Taylor instability at the surface of a spherical shell of an incompressible fluid under the condition of ablation compression by laser radiation is discussed. The closedness of the model is attained by means of the quasi-steady laser-corona approximation. The stabilizing role of evaporation, which was emphasized many times previously, is also confirmed in the case under consideration. However, numerical calculation testifies to the qualitative and quantitative difference in the behavior of perturbations in the general case compared to predictions of the well-known Bodner-Takabe formula. In our opinion, this fact is associated with the essentially unsteady nature of the compression process.
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