2 papers
math.NA2025
Layer Potential Methods for Doubly-Periodic Harmonic Functions
Bohyun Kim, Braxton Osting
We develop and analyze layer potential methods to represent harmonic functions on finitely-connected tori (i.e., doubly-periodic harmonic functions). The layer potentials are expre…
math.NA2023
A positivity-preserving numerical method for a thin liquid film on a vertical cylindrical fiber
Bohyun Kim, Hangjie Ji, Andrea L. Bertozzi +2
When a thin liquid film flows down on a vertical fiber, one can observe the complex and captivating interfacial dynamics of an unsteady flow. Such dynamics are applicable in variou…