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Hudson 1978
Hudson, M.K. (1978). Spread F bubbles: Nonlinear rayleigh-taylor mode in two dimensions. Journal of Geophysical Research 83: doi: 10.1029/JA083iA07p03189. issn: 0148-0227.

Analytic results on the nonlinear evolution of the Rayleigh-Taylor instability into equatorial spread F bubbles are presented. The nonlinear saturation amplitude and k spectrum of he inertia-dominated Rayleigh-Taylor instability is computed in two dimensions (east-west and vertical). Analogous to the collisional case, the dominant nonlinearity is found to be two dimensional. The linearly most unstable modes which are primarily horizontal (kx<ky) saturate by nonlinear generation of vertical spatial harmonics which may be damped by either recomination or diffusion. The resulting 1/kx amplitude spectrum is consistent with observations and suggests that bubbles will be vertically elongated in the inertial as well as collisional regimes.

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Journal of Geophysical Research
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American Geophysical Union
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