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The stability of a cylindrical pore in an infinite medium, or of an infinite cylinder, when surface energy is significant is considered. The growth of small sinusoidal perturbations by viscous flow (creeping flow) or by evaporation/condensation are examined. The principal results are the dependence of perturbation growth rate on perturbation wavelength. For the creeping flow case no maximum in perturbation growth rate appears. The results are compared with those of Lord Rayleigh [Philos. Mag. 34‐207, 145 (1892)] and of Nichols and Mullins [Trans. AIME 233, 1840 (1965)].