Publications

Please find my full list of publications on Google Scholar.

Under Review

Theoretical analysis of stress perturbations from a partially-lubricated viscous gravity current

In review at Journal of Fluid Mechanics

Developing theoretical models to quantify the stress perturbation for a viscous gravity current moving over a no-slip boundary with a finite-size slippery patch

Recommended citation: J. Rhines, C.-Y. Lai and Y. Wang. "Theoretical analysis of stress perturbations from a partially-lubricated viscous gravity current." arXiv preprint arXiv:2407.20565.
https://arxiv.org/abs/2407.20565

Journal Articles

Differentiable neural-network solver for data assimilation of ice shelves in JAX

Published in Journal of Open Source Software, 2025

Developing a differentiable neural-network solver for data assimilation of ICE shelves written in JAX.

Recommended citation: Y. Wang and C.-Y. Lai. (2025). "Differentiable neural-network solver for data assimilation of ice shelves in JAX." Journal of Open Source Software, 10, 7254.
https://doi.org/10.21105/joss.07254

Deep learning the flow law of Antarctic ice shelves

Published in Science, 2025

Discovering the ice-shelf viscosity map and the underlying rheology via physics-informed deep learning

Recommended citation: Y. Wang, C.-Y. Lai, D. J. Prior, and C. Cowen-Breen. "Deep learning the flow law of Antarctic ice shelves." Science, 387, 1219-1224.
https://doi.org/10.1126/science.adp3300

Theoretical stability of ice shelf basal crevasses with a vertical temperature profile

Published in Journal of Glaciology, 2024

Investigating the effect of temperature on the thresholding stress that can destabilize the basal crevasses to form rifts.

Recommended citation: N. B. Coffey, C.-Y. Lai, Y. Wang, et al. (2024). "Theoretical stability of ice shelf basal crevasses with a vertical temperature profile." Accepted at Journal of Glaciology.
https://doi.org/10.22541/essoar.169945580.00204993/v1

Multi-stage Neural Networks: Function Approximator of Machine Precision

Published in Journal of Computational Physics, 2024

Introducing multi-stage training scheme for regression problems and PINNs to reach machine precision.

Recommended citation: Y. Wang, C.-Y. Lai. (2024). "Multi-stage Neural Networks: Function Approximator of Machine Precision." Journal of Computational Physics, 504, 112865.
https://doi.org/10.1016/j.jcp.2024.112865

Asymptotic self-similar blow-up profile for three-dimensional axisymmetric Euler equations using neural networks

Published in Physical Review Letters, 2023

Discovering the self-similar blow-up solutons for 3-D axisymmetric Euler equations using physics-informed neural networks

Recommended citation: Y. Wang, C.-Y. Lai, J.Gómez-Serrano, and T. Buckmaster. (2023). "Asymptotic self-similar blow-up profile for three-dimensional axisymmetric Euler equations using neural networks." Physical Review Letters, 130, 244002.
https://doi.org/10.1103/PhysRevLett.130.244002

Non-Galilean Taylor–Culick law governs sheet dynamics in unsteady fragmentation

Published in Journal of Fluid Mechanics, 2023

Discovering the Non-Galilean Taylor-Culick law that governs the sheet expansion during fluid fragmentation upon drop impact

Recommended citation: Y. Wang, L. Bourouiba. (2023). "Non-Galilean Taylor–Culick law governs sheet dynamics in unsteady fragmentation." Journal of Fluid Mechanics, 969, A19.
https://doi.org/10.1017/jfm.2020.519

Mass, momentum and energy partitioning in unsteady fragmentation

Published in Journal of Fluid Mechanics, 2022

Conducting a combined theoretical and experiental investigation into quantifying the mass, momentum and energy transfer among different subparts of fluid fragmentation upon drop impact

Recommended citation: Y. Wang, L. Bourouiba. (2022). "Mass, momentum and energy partitioning in unsteady fragmentation, 935, A29.
https://doi.org/10.1017/jfm.2021.625

Growth and breakup of ligaments in unsteady fragmentation

Published in Journal of Fluid Mechanics, 2021

Discovering the mechanism that governs the ligament growth and breakup on destabilized rim during fluid fragmentation

Recommended citation: Y. Wang, L. Bourouiba. (2021) "Growth and breakup of ligaments in unsteady fragmentation." Journal of Fluid Mechanics, 910, A39.
https://doi.org/10.1017/jfm.2020.698

Unsteady sheet fragmentation: droplet sizes and speeds

Published in Journal of Fluid Mechanics, 2018

Developing high-precision droplet-ligament tracking and linking algorithm to discover the universal local dynamics that governs the droplet breakups from the ligaments during fluid fragmentation

Recommended citation: Y. Wang, L. Bourouiba. (2018). "Unsteady sheet fragmentation: droplet sizes and speeds." Journal of Fluid Mechanics, 848, 946-967.
https://doi.org/10.1017/jfm.2018.359

Universal Rim Thickness in Unsteady Sheet Fragmentation

Published in Physical Review Letters, 2018

Discovering the universal physical law that governs the rim dynamics for various fluid fragmentations

Recommended citation: Y. Wang, R. Dandekar, N. Bustos, S. Poulain, and L. Bourouiba. (2018). "Universal rim thickness in unsteady sheet fragmentation." Physical Review Letters, 120, 204503.
https://doi.org/10.1103/PhysRevLett.120.204503

Non-isolated drop impact on surfaces

Published in Journal of Fluid Mechanics, 2018

Discovering the four regimes of interaction upon drop impact on solid surface with a neighbouring sessile droplets and quantify the impact condition for each regimes.

Recommended citation: Y. Wang, L. Bourouiba. (2018). "Non-isolated drop impact on surfaces." Journal of Fluid Mechanics, 755, 24-44.
https://doi.org/10.1017/jfm.2017.755

Drop impact on small surfaces: thickness and velocity profiles of the expanding sheet in the air

Published in Journal of Fluid Mechanics, 2017

Conducting combined theoretical and experimental investigation into the sheet dynamics of fluid fragmentation upon drop impact

Recommended citation: Y. Wang, L. Bourouiba. "Drop impact on small surfaces: thickness and velocity profiles of the expanding sheet in the air." Journal of Fluid Mechanics, 814, 510-534.
https://doi.org/10.1017/jfm.2017.18

Conference Papers

Spectrum-informed multistage neural nework: Multiscale function approximator of machine precision

Published in ICML2024-AI4Science Workshop, 2024

Applying spectrum-informed initialization to accelerate multistage neural-network training.

Recommended citation: J. Ng, Y. Wang, C.-Y. Lai. (2024). "Spectrum-informed multistage neural nework: Multiscale function approximator of machine precision." ICML2024-AI4Science Workshop.
https://openreview.net/forum?id=59hdCpJyHx

Euler operators for mis-specified physics-informed neural networks

Published in ICML2024-AI4Science Workshop, 2024

Developing theoretical tools to detect the mis-specfication of inverse problems using PINNs and quantifying the generalized bounds for the mis-specified PINN problems.

Recommended citation: C. Cowen-Breen, Y. Wang, C.-Y. Lai. (2024). "Euler operators for mis-specified physics-informed neural networks." ICML2024-AI4Science Workshop.
https://openreview.net/forum?id=kkGR5fNq2J

Yongji Wang

Publications

Under Review

Journal Articles

Conference Papers