4 papers
Multi-scale spectral methods for bounded radially symmetric capillary surfaces
Jonas Haug, Ray Treinen
We consider radially symmetric capillary surfaces that are described by bounded generating curves. We use the arc-length representation of the differential equations for these surf…
Discussion of a uniqueness result in "Equilibrium Configurations for a Floating Drop"
Ray Treinen
We analyze a uniqueness result presented by Elcrat, Neel, and Siegel \cite{ENS} for unbounded liquid bridges, and show that the proof they presented is incorrect. We add a choice o…
Spectral Methods for capillary surfaces described by bounded generating curves
Ray Treinen
We consider capillary surfaces that are constructed by bounded generating curves. This class of surfaces includes radially symmetric and lower dimensional fluid-fluid interfaces. W…
The geometry of the triple junction between three fluids in equilibrium
Ivan Blank, Alan Elcrat, Ray Treinen
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 variati…