Uniqueness of the pendent drop of infinite length
classification
🧮 math.DS
math.AP
keywords
uniquenesscapillaryequationinfinitelengthperturbationargumentaxisymmetric
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We prove the uniqueness of the infinite length axisymmetric solution to the capillary equation. We observe that capillary equation can be viewed, at large depth, as a perturbation of an integrable two-dimensional differential system. Uniqueness is then proved by an elementary perturbation argument.
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