# High Spots for the Ice-Fishing Problem with Surface Tension

@article{Willis2021HighSF, title={High Spots for the Ice-Fishing Problem with Surface Tension}, author={N. Parker Willis and Chee Han Tan and Christel Hohenegger and Braxton Osting}, journal={ArXiv}, year={2021}, volume={abs/2111.10727} }

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 effects of surface tension on the free surface. The dimensionless number that describes the effect of surface tension is called the Bond number. For holes that are infinite parallel strips or circular holes, we transform the problem to an equivalent eigenvalue integro-differential equation on an interval and expand in…

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