3 papers
math.NA2024
Spectral Prescribed Mean Curvature
Jonas Haug, Rachel Jewell, Ray Treinen
We consider prescribed mean curvature equations whose solutions are minimal surfaces, constant mean curvature surfaces, or capillary surfaces. We consider both Dirichlet boundary c…
math.NA2023
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…
math.CA2022
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…