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Original Articles

Unconditional nonlinear stability in penetrative convection

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Pages 57-63 | Received 17 Feb 1987, Published online: 18 Aug 2006
 

Abstract

A nonlinear energy stability analysis is presented for the penetrative convection model of Veronis (1963). The critical Rayleigh number boundary determined here ensures nonlinear stability for arbitrary sized initial amplitudes, unlike the conditional results of Straughan (1985).

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