6 papers
Physics-informed neural network (PINN) approximations of capillary menisci in polygonal channels
Zijian Liu, Julian Olszewski, Jie Xu
In a zero-gravity cylindrical container, a meniscus can span a square or equilateral-triangular cross-section only at contact angles at or above the respective Concus-Finn critical…
Resonant-pair energy return beyond the early Green-Kubo plateau in a quartic chain
Julian Olszewski, Zijian Liu, Jie Xu
Distinguishing rapid local energy exchange from sustained transport matters when thermal conductivity is inferred from finite simulations. In a weakly coupled chain of separable qu…
Calibrated shape-only recovery of membrane viscosities
Julian Olszewski, Zijian Liu, Jie Xu
Nearby relaxation rates make two membrane viscosities difficult to distinguish from a shape transient. We show how calibrated preparation removes this loss of local sensitivity in…
A closed-form solution for streaming and Lagrangian transport in a deforming circular cavity
Zijian Liu, Julian Olszewski, Yang Lin +3
Streaming from a deforming cavity wall serves micromixing, pumping and particle handling. We solve it in closed form in a two-dimensional circular cavity, for any azimuthal wall mo…
Design of a combined polarimetric and velocimetric measurement for viscoelastic stress, and its constitutive resolving power
Zijian Liu, Julian Olszewski, Bruce I. Gaynes +1
A polarimeter does not report stress. It reports a retardance and an azimuth, and converting those to a stress pair fixes both the calibration that is required and the covariance t…
Structural identifiability and stress reconstruction from incomplete optical maps with velocimetry
Zijian Liu, Julian Olszewski, Bruce I. Gaynes +1
Reconstructing the stress field of a planar viscoelastic flow from optical measurements loses its direct evidence wherever optical coverage is interrupted, and no improvement in op…