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Nonlinear diffusion process in a Bénard system at the critical point for the onset of convection

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Abstract

The evolution equation governing surface perturbations of a shallow fluid heated from below at the critical Rayleigh number for the onset of convective motion, and with boundary conditions leading to zero critical wave number, is obtained. A solution for negative or cooling perturbations is explicitly exhibited, which shows that the system presents sharp propagating fronts. © 1993 The American Physical Society.

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English

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Physical Review E, v. 47, n. 5, p. 3303-3306, 1993.

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