We present analytic formulas for the nonlinear evolution of the bubble amplitude in Rayleigh-Taylor and Richtmyer-Meshkov instabilities in two and three dimensions. Direct numerical simulations of He/Xe shock tube experiments are also presented and the results are found to agree well with the analytic formulas which are based on an extension of Layzer's theory [Astrophys. J. 122, 1 (1955)].
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Karnig O. Mikaelian (1998) studied this question.
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