73 citations · 151 across the 25 of their papers we have counts for
7 papers · 1 filter
Penrose's eight-conic theorem
Russell Arnold, Albert Chern, Morten Eide +3
This article proves the following theorem, first enunciated by Roger Penrose about 70 years ago but never published: In , if conics are assigned to seven of the ve…
Stokes flow of an evolving fluid film with arbitrary shape and topology
Cuncheng Zhu, David Saintillan, Albert Chern
The dynamics of evolving fluid films in the viscous Stokes limit is relevant to various applications, such as the modeling of lipid bilayers in cells. While the governing equations…
Generalizable Physics-Informed Learning for Stochastic Safety-Critical Systems
Zhuoyuan Wang, Albert Chern, Yorie Nakahira
Accurate estimation of long-term risk is essential for the design and analysis of stochastic dynamical systems. Existing risk quantification methods typically rely on extensive dat…
Fluid Implicit Particles on Coadjoint Orbits
Mohammad Sina Nabizadeh, Ritoban Roy-Chowdhury, Hang Yin +2
We propose Coadjoint Orbit FLIP (CO-FLIP), a high order accurate, structure preserving fluid simulation method in the hybrid Eulerian-Lagrangian framework. We start with a Hamilton…
Active nematic fluids on Riemannian 2-manifolds
Cuncheng Zhu, David Saintillan, Albert Chern
Recent advances in cell biology and experimental techniques using reconstituted cell extracts have generated significant interest in understanding how geometry and topology influen…
Lifting Directional Fields to Minimal Sections
David Palmer, Albert Chern, Justin Solomon
Directional fields, including unit vector, line, and cross fields, are essential tools in the geometry processing toolkit. The topology of directional fields is characterized by th…