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arXiv · 1311.7296

Spilling from a cognac glass

Tadeusz Kulczycki·Mateusz Kwasnicki·Bartlomiej Siudeja
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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.

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Tadeusz Kulczycki, Mateusz Kwasnicki, Bartlomiej Siudeja. 2013-11-28. Spilling from a cognac glass. https://arxiv.org/abs/1311.7296

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