Falling drop in an unbounded liquid reservoir: Steady-state solutions
Analysis of PDEs
2019-12-12 v1
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.
Cite
@article{arxiv.1912.04925,
title = {Falling drop in an unbounded liquid reservoir: Steady-state solutions},
author = {Thomas Eiter and Mads Kyed and Yoshihiro Shibata},
journal= {arXiv preprint arXiv:1912.04925},
year = {2019}
}