Spilling from a cognac glass
Analysis of PDEs
2013-12-02 v1 Mathematical Physics
math.MP
Abstract
In the paper we study the shape of the fundamental sloshing mode of a liquid in a container. Our approach is based on a mathematical model which is an appropriate Steklov eigenvalue problem. We present numerical results, a physical experiment, photos of a surface of oscillating liquid and also rigorous mathematical results. We describe the relation of the above problem with the celebrated hot spots conjecture.
Cite
@article{arxiv.1311.7296,
title = {Spilling from a cognac glass},
author = {Tadeusz Kulczycki and Mateusz Kwasnicki and Bartlomiej Siudeja},
journal= {arXiv preprint arXiv:1311.7296},
year = {2013}
}