Publications and manuscripts
Publications
Peer-reviewed papers, manuscripts under consideration, and technical reports in applied mathematics, fluid dynamics, stochastic filtration, porous media, and network-based modeling.
Peer-reviewed journal articles
Listed in reverse chronological order.
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Stochastic Modeling of Filtration with Sieving in Graded Pore Networks
Journal of Fluid Mechanics, 1035, A28, 2026.
Stochastic membrane-filtration model combining adsorption, sieving, graded pore networks, and particle-driven blocking.
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Mathematical Geosciences, 2026.
Reactive pore-scale model for coupled flow, heat transport, calcium transport, and reaction-driven permeability evolution in aquifer thermal energy storage.
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Annual Review of Fluid Mechanics, 58, 2026.
Review of mathematical and computational models for filtration in pore-network representations.
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Influence of Topology on Performance of Pore Networks in Membrane Filters
Physical Review E, 113, 024301, 2026.
Graph-theoretic study of how pore-network topology influences filtration performance.
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Fractal Dimension of Non-Newtonian Hele-Shaw Flow Subject to Saffman-Taylor Instability
Physical Review E, 110, 065107, 2024.
Study of fractal structure in non-Newtonian viscous fingering dynamics.
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Flow through Pore-Size Graded Membrane Pore Networks
Physical Review Fluids, 8, 044502, 2023.
Network model for pressure-driven flow through pore-size graded membrane structures.
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Journal of Membrane Science, 657, 120668, 2022.
Computational study of how network structure and pore-size variability affect membrane filtration.
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A Graphical Representation of Membrane Filtration
SIAM Journal on Applied Mathematics, 82, 950–975, 2022.
Graph-based formulation of membrane filtration and its evolving network structure.
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On the Influence of Pore Connectivity on Performance of Membrane Filters
Journal of Fluid Mechanics, 902, A5, 2020.
Study of pore connectivity and its effect on membrane-filter performance.
Preprints, Manuscripts Under Consideration, and Work in Progress
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Source-Induced Reflection in Balanced Shallow-Water Networks
arXiv:2607.02581; submitted to Physical Review E (2026).
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Cell Proliferation in a Network Model of Tissue Engineering Scaffolds
Submitted to SIAM Journal on Life Sciences (2026).
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A Spectral Representation of Nonlinear Dynamics on Networks with Applications in Reactive Transport
In progress.
Technical reports
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Reduced Noise and Ringing for Image Processing.
B. Gu, B. Tilley, F. Cao, M. Chugunova, C. Coonrod, P. Dubovski, T. Fuller, A. Iatcenko, W. Thompson, T. Thakur, N. Xu, and M. Zyskin. June 2025. -
Finding the Limits of Machine Learning in Optimization.
D. A. Edwards, B. Gu, K. Jonston, M. Wichman, and M. Zyskin. November 2022. -
On Temperature Effects in Reacting Porous Media Applications.
R. H. Allaire, A. G. Odu, B. Gu, W. Lu, A. Newell, P. J. Paranamana, T. Phan, H. Ruzayqat. June 2017.