The geometry of the triple junction between three fluids in equilibrium
Analysis of PDEs
2019-08-26 v2
Abstract
We conduct an analysis of the blow up at the triple junction of three fluids in equilibrium. Energy minimizers have been shown to exist in the class of functions of bounded variations, and the classical theory implies that an interface between two fluids is an analytic surface. We prove two monotonicity formulas at the triple junction for the three-fluid configuration, and show that blow up limits exist and are always cones. We discuss some of the geometric consequences of our results.
Keywords
Cite
@article{arxiv.1601.00370,
title = {The geometry of the triple junction between three fluids in equilibrium},
author = {Ivan Blank and Alan Elcrat and Ray Treinen},
journal= {arXiv preprint arXiv:1601.00370},
year = {2019}
}
Comments
39 pages, 13 figures, revision of earlier version