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math.AP2021
High Spots for the Ice-Fishing Problem with Surface Tension
Nathan Willis, Chee Han Tan, Christel Hohenegger +1
In the ice-fishing problem, a half-space of fluid lies below an infinite rigid plate (``the ice'') with a hole. In this paper, we investigate the ice-fishing problem including the…
math.SP2021
An Isoperimetric Sloshing Problem in a Shallow Container with Surface Tension
Chee Han Tan, Christel Hohenegger, Braxton Osting
In 1965, B. A. Troesch solved the isoperimetric sloshing problem of determining the container shape that maximizes the fundamental sloshing frequency among two classes of shallow c…