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arXiv · 1912.04925

Falling drop in an unbounded liquid reservoir: Steady-state solutions

Thomas Eiter·Mads Kyed·Yoshihiro Shibata
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Abstract

The equations governing the motion of a three-dimensional liquid drop moving freely in an unbounded liquid reservoir under the influence of a gravitational force are investigated. Provided the (constant) densities in the two liquids are sufficiently close, existence of a steady-state solution is shown. The proof is based on a suitable linearization of the equations. A setting of function spaces is introduced in which the corresponding linear operator acts as a homeomorphism.

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Thomas Eiter, Mads Kyed, Yoshihiro Shibata. 2019-12-10. Falling drop in an unbounded liquid reservoir: Steady-state solutions. https://arxiv.org/abs/1912.04925

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