14 citations · 38 across the 10 of their papers we have counts for
10 papers
On the uniqueness of energy-minimizing curves in constrained spaces
Ki-Ahm Lee, Taehun Lee
In this paper, we investigate energy-minimizing curves with fixed endpoints and in a constrained space. We prove that when one of the endpoints, say , is fixed, the set…
Curvature bound for Minkowski problem
Kyeongsu Choi, Minhyun Kim, Taehun Lee
We establish curvature estimates for anisotropic Gauss curvature flows. By using this, we show that given a measure with a positive smooth density , any solution to the $L_p…
An eigenvalue problem for prescribed curvature equations
Taehun Lee
We study an eigenvalue problem for prescribed -curvature equations of star-shaped, -convex, closed hypersurfaces. We establish the existence of a unique eigenvalue and its…
Interaction between a Rising Bubble and a Stationary Droplet Immersed in a Liquid Pool using Ternary Conservative Phase-Field Lattice Boltzmann Method
Chunheng Zhao, Taehun Lee
When a stationary bubble and a stationary droplet immersed in a liquid pool are brought in contact with each other, they form a bubble-droplet aggregate. Its equilibrium morphology…
Engulfment of a drop on solids coated by thin and thick fluid films
Chunheng Zhao, Vanessa R. Kern, Andreas Carlson +1
When an aqueous drop contacts an immiscible oil film, it displays complex interfacial dynamics. Upon contact the oil spreads onto the drop's liquid-air interface, first forming a c…
Diameter estimate for planar dual Minkowski problem
Minhyun Kim, Taehun Lee
In this paper, given a prescribed measure on whose density is bounded and positive, we establish a uniform diameter estimate for solutions to the planar dual M…
IMEXLBM 1.0: A Proxy Application based on the Lattice Boltzmann Method for solving Computational Fluid Dynamic problems on GPUs
Geng Liu, Saumil Patel, Ramesh Balakrishnan +1
The US Department of Energy launched the Exascale Computing Project (ECP) in 2016 as part of a coordinated effort to achieve the next generation of high-performance computing (HPC)…
The discrete logarithmic Minkowski problem for the electrostatic -capacity
Minhyun Kim, Taehun Lee
The Minkowski problem for electrostatic capacity characterizes measures generated by electrostatic capacity, which is a well-known variant of the Minkowski problem. This problem ha…
Optimal configuration and symmetry breaking phenomena in the composite membrane problem with fractional Laplacian
María del Mar González, Ki-Ahm Lee, Taehun Lee
We consider the following eigenvalue optimization in the composite membrane problem with fractional Laplacian: given a bounded domain , and ,…
Dynamics of viscous coalescing droplets in a saturated vapor phase
Lina Baroudi, Sidney R. Nagel, Jeffrey F. Morris +1
The dynamics of two liquid droplets coalescing in their saturated vapor phase are investigated by Lattice Boltzmann numerical simulations. Attention is paid to the effect of the va…