Publications and Preprints

  1. M. Chugunova, H. Ji, R. Taranets, N. Vasylyeva, Analysis of a radiotherapy model for brain tumors. Under review (2024). [arXiv]
  2. S. Chattopadhyay, A. K. Gaonkar, H. Ji, Thermocapillary instabilities in liquid films on the inner surface of a rotating cylinder. Under review (2024).
  3. J. Zhao, E. Vaios, Z. Yang, K. Lu, S. Floyd, D. Yang, H. Ji, Z. J. Reitman, K. J. Lafata, P. Fecci, J. P. Kirkpatrick, C. Wang. Radiogenomic explainable AI with neural ordinary differential equation for identifying post-SRS brain metastasis radionecrosis. Medical Physics. 2025; 1-14. [Journal]
  4. S. Chattopadhyay, H. Ji, Thermocapillary thin viscoelastic film flow on a rotating substrate. Physica D: Nonlinear Phenomena (2025) Volume 472, 134493. [Journal]
  5. G. Fu, H. Ji, W. Pazner, W. Li, Mean field control of droplet dynamics with high order finite element computations. Journal of Fluid Mechanics. 2024;999:A76 (2024). [arXiv] [Journal][Code]
  6. S. Chattopadhyay, H. Ji, Modeling reactive film flows down a heated fiber. Chemical Engineering Science. Volume 300, 120551 (2024). [Journal]
  7. 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]
  8. H. Ji, T. P. Witelski, Coarsening of thin films with weak condensation, SIAM Journal on Applied Mathematics 84.2 (2024): 362-386. [Journal] [arXiv]
  9. 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] [Code]
  10. 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]
  11. 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] [Code]
  12. 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]
  13. 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]
  14. H. Ji, P. Sanaei, Mathematical model for wetting and drying in filter membranes, Physical Review Fluids 8, 064302 (2023) [Journal].
  15. 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]
  16. 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]
  17. 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]
  18. with P. Sanaei et al. Evaporation and deposition in porous media. Mathematics in Industry Reports, Cambridge Open Engage (2022) [Preprint]
  19. 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]
  20. 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]
  21. 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]
  22. 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]
  23. 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]
  24. 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].
  25. 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]
  26. 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]
  27. 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]
  28. 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]
  29. 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]
  30. 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]
  31. H. Ji, T. P. Witelski, Instability and dynamics of volatile thin films, Physical Review Fluids 3, no. 2 (2018): 024001. [Journal] [arXiv]
  32. H. Ji, L. Li, Numerical methods for thermally stressed shallow shell equations, Journal of Computational and Applied Mathematics (2018). [Journal] [arXiv]
  33. 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]
  34. 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]
  35. 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]
  36. 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]
  37. H. Ji, Thin films with non-conservative effects, PhD Dissertation, Mathematics, Duke University, 2017 [Dissertation]