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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…
math.SP2021
Steklov Eigenvalues of Nearly Spherical Domains
Robert Viator, Braxton Osting
We consider Steklov eigenvalues of three-dimensional, nearly-spherical domains. In previous work, we have shown that the Steklov eigenvalues are analytic functions of the domain pe…