Abstract
We consider the steady fall of a drop of fluid under its own weight in an infinite reservoir of another viscous fluid; the shape of the drop is determined by surface tension. For small data we prove existence and uniqueness of a classical solution to this problem.
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Bemelmans, J. Liquid drops in a viscous fluid under the influence of gravity and surface tension. Manuscripta Math 36, 105–123 (1981). https://doi.org/10.1007/BF01174815
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DOI: https://doi.org/10.1007/BF01174815