3 citations · 5 across the 5 of their papers we have counts for
6 papers
Extremal Steklov-Neumann Eigenvalues
Chiu-Yen Kao, Braxton Osting, Chee Han Tan +1
Let be a bounded open planar domain with smooth connected boundary, , that has been partitioned into two disjoint components, . We consider the Steklov-Ne…
Steklov eigenvalues of nearly hyperspherical domains
Chee Han Tan, Robert Viator
We consider Steklov eigenvalues of nearly hyperspherical domains in with . In previous work, treating such domains as perturbations of the ball, we pro…
Analyticity of Steklov Eigenvalues in nearly-hyperspherical domains in \mathbb{R}^{d+1}
Chee Han Tan, Robert Viator
We consider the Dirichlet-to-Neumann operator (DNO) on nearly-hyperspherical domains in dimension greater than 3. Treating such domains as perturbations of the ball, we prove the a…
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…
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…
A Variational Characterization of Fluid Sloshing with Surface Tension
Chee Han Tan, Christel Hohenegger, Braxton Osting
We consider the sloshing problem for an incompressible, inviscid, irrotational fluid in an open container, including effects due to surface tension on the free surface. We restrict…