This study consists of three parts: the effects of heat and mass transfer on the motion of nearly spherical bubbles; the effects of compressibility of the liquid on the motion of nearly spherical bubbles; and the variational methods for dynamics of nonspherical bubbles. The programs of the linear stability of spherical bubbles become more complete with the former two parts, while the latter not only offers an alternate exact method to deal with the problem but also opens new avenues for approximate treatments. Analyses are limited entirely on the theoretical level in this study.

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