Publications and Preprints

  1. G. Fu, H. Ji, W. Pazner, W. Li, Mean field control of droplet dynamics with high order finite element computations. Under review (2024). [arXiv]
  2. R. Taranets, H. Ji, M. Chugunova, On weak solutions of a control-volume model for liquid films flowing down a fibre, Discrete and Continuous Dynamical Systems - B (2024). doi: 10.3934/dcdsb.2024018 [Journal] [arXiv]
  3. H. Ji, T. P. Witelski, Coarsening of thin films with weak condensation. To appear in SIAM Journal on Applied Mathematics (2024) [arXiv]
  4. B. Kim, H. Ji, A. L. Bertozzi, A. Sadeghpour, Y. S. Ju, A positivity-preserving numerical method for a thin liquid film on a vertical cylindrical fiber. Journal of Computational Physics, 496, 112560 (2024). [Journal]
  5. L. Li, H. Ji , Q. Tang, Numerical methods for fourth-order PDEs on overlapping grids with application to Kirchhoff-Love plates. Journal of Scientific Computing, 98, 41 (2024). [Journal] [arXiv]
  6. S. Biswal, H. Ji, K. Elamvazhuthi, A. L. Bertozzi, Optimal Boundary Control of a Model Thin-Film Equation. Physica D: Nonlinear Phenomena, Volume 457, January 2024, 133942 [Journal] [arXiv]
  7. S. Chattopadhyay, H. Ji, Thermocapillary thin film flows on a slippery substrate with odd viscosity effects, Physica D: Nonlinear Phenomena, Volume 455, December 2023, 133883 [Journal]
  8. W. Chu, H. Ji, Q. Wang, C-J Kim, A. L. Bertozzi, An electro-hydrodynamics modeling of droplet actuation on solid surface by surfactant-mediated electro-dewetting. Physical Review Fluids 8.7 (2023): 073701 [Journal]
  9. H. Ji, P. Sanaei, Mathematical model for wetting and drying in filter membranes, Physical Review Fluids 8, 064302 (2023) [Journal].
  10. D. Ko, H. Ji, Y. S. Ju, Prediction of pore-scale flow in heterogeneous porous media from periodic structures using deep learning, AIP Advances, 1 April 2023; 13 (4): 045324 [Journal]
  11. D. Ko, H. Ji, Y. S. Ju, Prediction of 3D velocity field of reticulated foams using deep learning for transport analysis. Transport in Porous Media, 148, 577–604 (2023) [Journal]
  12. Z. Yang, Z. Hu, H. Ji, K. Lafata, E. Vaios, S. Floyd, F.-F. Yin, C. Wang, A Neural Ordinary Differential Equation Model for Visualizing Deep Neural Network Behaviors in Multi-Parametric MRI based Glioma Segmentation. Med Phys. 2023 Feb 25. doi: 10.1002/mp.16286. [journal] [arXiv]
  13. with P. Sanaei et al. Evaporation and deposition in porous media. Mathematics in Industry Reports, Cambridge Open Engage (2022) [Preprint]
  14. H. Ji, K. Lafata, Y. Mowery, D. Brizel, A. L. Bertozzi, F.-F. Yin, C. Wang, Post-Radiotherapy PET Image Outcome Prediction by Deep Learning under Biological Model Guidance: A Feasibility Study of Oropharyngeal Cancer Application. Frontiers in Oncology, Volume 12, 2022 [Journal] [arXiv]
  15. H. Xia, V. Suliafu, H. Ji, T. M. Nguyen, A. L. Bertozzi, S. Osher, B. Wang, Heavy Ball Neural Ordinary Differential Equations. Advances in Neural Information Processing Systems, 34 (2021) [Proceedings] [arXiv]
  16. H. Ji, R. Taranets, M. Chugunova, Qualitative analysis of travelling wave solutions for a model of a liquid film flowing down a fiber, European Journal of Applied Mathematics, 2021, 1-30 [Journal] [arXiv]
  17. H. Ji, C. Falcon, E. Sedighi, A. Sadeghpour, Y. S. Ju, A. L. Bertozzi, Thermally-driven coalescence in thin liquid film flowing down a fiber, Journal of Fluid Mechanics, 916, A19 (2021). [Journal]
  18. T. A. Nguyen, L. Li, H. Ji, Stable and accurate numerical methods for generalized Kirchhoff-Love plates, Journal of Engineering Mathematics, 130, 6 (2021) [Journal] [arXiv]
  19. A. Sadeghpour, F. Oroumiyeh, Y. Zhu, D. H. Ko, H. Ji, A. L. Bertozzi, Y. S. Ju, Experimental study of a string-based counterflow wet electrostatic precipitator for collection of fine and ultrafine particles (2021) Journal of the Air & Waste Management Association, 71:7, 851-865, [Journal].
  20. E. Sedighi, Z. Zeng, A. Sadeghpour, H. Ji, Y. S. Ju, A. L. Bertozzi, Capillary rise of well-wetting liquid on the outer surface of cylindrical nozzles. Langmuir (2021) 37, 35, 10413–10423. [Journal]
  21. H. Ji, A. Sadeghpour, A. L. Bertozzi, Y. S. Ju, Modeling film flows down a fibre influenced by nozzle geometry, Journal of Fluid Mechanics Rapids, volume 901 (2020) [Journal] [arXiv]
  22. Y. Dukler, H. Ji, C. Falcon, A. L. Bertozzi, Theory for undercompressive shocks in tears of wine. Physical Review Fluids 5, 034002 (2020). [Journal] [arXiv]
  23. H. Ji, C. Falcon, A. Sadeghpour, Z. Zeng, Y. S. Ju, A. L. Bertozzi, Dynamics of thin liquid films on vertical cylindrical fibers. Journal of Fluid Mechanics 865 (2019): 303-327. [Journal] [arXiv] [Video]
  24. H. Ji, T. P. Witelski, Steady states and dynamics of a thin film-type equation with non-conserved mass. European Journal of Applied Mathematics (2019): 1-34. [Journal] [arXiv]
  25. A. Sadeghpour, Z. Zeng, H. Ji, N. D. Ebrahimi, A. L. Bertozzi, Y. S. Ju, Water vapor capturing using an array of traveling liquid beads for desalination and water treatment. Science Advances 5, no. 4 (2019): eaav7662. [Journal]
  26. H. Ji, T. P. Witelski, Instability and dynamics of volatile thin films, Physical Review Fluids 3, no. 2 (2018): 024001. [Journal] [arXiv]
  27. H. Ji, L. Li, Numerical methods for thermally stressed shallow shell equations, Journal of Computational and Applied Mathematics (2018). [Journal] [arXiv]
  28. X. Hu, Y. Li, H. Ji, A nodal-based finite element approximation of a phase field model for shape and topology optimization, Applied Mathematics and Computation (2018). [Journal]
  29. Y. Gao, H. Ji, J. Liu, T. P. Witelski, A vicinal surface model for epitaxial growth with logarithmic free energy, Discrete & Continuous Dynamical Systems - B (2018): 1771-1784. [Journal] [arXiv]
  30. H. Ji, T. P. Witelski, Finite-time thin film rupture driven by modified evaporative loss, Physica D: Nonlinear Phenomena, vol 342 (2017), pp. 1-15. [Journal] [arXiv]
  31. Y. Gao, H. Ji, J. Liu, T. P. Witelski, Global existence of solutions to a tear film model with locally elevated evaporation rates, Physica D: Nonlinear Phenomena, vol 350 (2017), pp. 13-25. [Journal] [arXiv]
  32. H. Ji, Thin films with non-conservative effects, PhD Dissertation, Mathematics, Duke University, 2017 [Dissertation]