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Publications

Peer-reviewed Papers

  1. W. Luo and Y. Zhao, An ultraspherical spectral method for block copolymer systems on unit disk, accepted by Advances in Applied Mathematics and Mechanics, 2024. [link]
  2. Z. Cang and Y. Zhao, Synchronized optimal transport for joint modeling of dynamics across multiple spaces, SIAM Journal on Applied Mathematics, to appear, 2024. [link]
  3. Z. Cang, Y. Wu and Y. Zhao, Supervised Gromov-Wasserstein optimal transport, SIAM Journal on Mathematics of Data Science, to appear, 2024. [link]
  4. W. Luo and Y. Zhao, Asymptotically compatible schemes for nonlocal Ohta-Kawasaki model, Numerical Methods for Partial Differential Equations, 2024, e23143.  [Arxiv][DOI][PDF]
  5. Y. Zhang, H. Levine and Y. Zhao, Phase field modeling of Dictyostelium discoideum chemotaxis, submitted, 2023. [link]
  6. G. Nguyen, X. Xu and Y. Zhao, Analytic Insights into an Adapted Algorithm for the Score-based Secretary Problem, to appear in Journal of Mathematical Study, 2024.
  7. W. Luo and Y. Zhao, Nonlocal effects on a generalized Ohta-Kawasaki model, Physica D, 458, 133989, 2024. [link][PDF]
  8. J. Xu, J. Zhao and Y. Zhao, Numerical Approximations of the Allen-Cahn-Ohta-Kawasaki (ACOK) Equation with Modified Physics Informed Neural Networks (PINNs), International Journal of Numerical Analysis and Modeling, 20 (5), 693-708, 2023. [link][PDF]
  9. Z. Cang, Y. Zhao, A. Almet, A. Stabell, R. Ramos, M. V. Plikus, S. Atwood and Q. Nie, Screening cell-cell communication in spatial transcriptomics via collective optimal transport, Nature Method, 20, 218–228, 2023. [link]
  10. X. Zhao, W. Hao and Y. Zhao, Bifurcation Analysis Reveals Solution Structures of Phase Field Models, Communications on Applied Mathematics and Computation, 2022, doi: https://doi.org/10.1007/s42967-022-00221-1. [link][PDF]
  11. Z. Cang, Q. Nie and Y. Zhao, Supervised optimal transport, SIAM in Appl. Math., 82, 1851-1877, 2022. [link][PDF]
  12. X. Tang, Y. Zhao, Q. Liu, D. Hu, G. Li, S. Jin and G. Song, The assessment of cumulative risk factors for childhood stunting: a case-control study in China, Front Pediatr. 31;10:816870, 2022. [link]
  13. S. Joo, X. Xu and Y. Zhao, Analysis of the Allen-Cahn-Ohta-Nakazawa model in a ternary system,  Interfaces Free Bound., 23, 535-559, 2021. [link]
  14. H. Choi and Y. Zhao, Second-order stabilized semi-implicit energy stable schemes for bubble assemblies in binary and ternary systems, Discrete Contin. Dyn. Syst. Ser. B, 8, 4649-4683, 2022, doi: 10.3934/dcdsb.2021246. [link]
  15. X. Tang, Y. Zhao, Q. Liu, D. Hu, G. Li and G. Song, Transition patterns of weight status and their predictable lipid markers among Chinese adults, Diabetes Metab. Syndr. Obes., 14, 2661-2671, 2021. [link]
  16. X. Xu and Y. Zhao, Maximum Principle Preserving and Energy Stable Schemes for Binary Systems with Long-range Interactions, J. of Sci. Comput., 84, 33, 2020. [link][PDF]
  17. K. Yang, S. Roudenko and Y. Zhao, Stable blow-up dynamics in the L^2-critical and L^2-supercritical generalized Hartree equation, Studies in Applied Math., 145, 647-695, 2020. [link][PDF]
  18. C. Wang, X. Ren and Y. Zhao, Bubble assemblies in ternary systems with long range interaction, Comm. Math. Sci., 17, 2309 – 2324, 2019. [preprint].
  19. X. Xu and Y. Zhao, Energy stable semi-implicit schemes for Allen-Cahn-Ohta-Kawasaki Model in Binary System, J. of Sci. Comput., 80, 1656-1680, 2019. [PDF][link]
  20. K. Yang, S. Roudenko and Y. Zhao, Blow-up dynamics in the mass super-critical NLS equations, Physica D, 396, 47-69, 2019. [PDF][link]
  21. Y. Cao, R. Karmakar, E. Ghabache, E. Gutierrez, Y. Zhao, A. Groisman, H. Levine, B. Camley and W.-J. Rappel, Cell motility dependence on adhesive wetting, Soft Matter, 15, 2043-2050, 2019. [link][PDF][Sup]
  22. H. Li, C. Shen, Y. Zhao, G. Sahin, H. Choi and Y. Shah, High entropy secrecy generation from wireless, J. Commun. Netw., 21, 177-191, 2019.
  23. K. Yang, S. Roudenko and Y. Zhao, Blow-up dynamics and spectral property in the L^2-critical nonlinear Schrodinger equation in high dimensions, Nonlinearity, 31, 4354, 2018. [link][PDF].
  24. Y. Zhao, Y. Ma, H. Sun, B. Li, and Q. Du, A new phase-field approach to variational implicit solvation of charged molecules with the Coulomb-field approximation, Comm. Math. Sci., 16, 1203-1223, 2018. [PDF].
  25. Y. Wang, Y. Zhao, L. Wang, A. Song and Y. Ma, Stochastic maximum principle for partial infomation optimal investment and dividend problem of an insurer, JIMO, 14(2), 653-671, 2018. [link][PDF].
  26. B. Camley*, Y. Zhao*, B. Li, H. Levine and W.-J. Rappel, Crawling and turning in a minimal reaction-diffusion cell motility model: coupling cell shape and biochemistry, Phys. Rev. E, 95, 012401, 2017. [link][PDF]
  27. M. Ayhan, Y. Zhao and H. Choi, Utilizing geometric mean in proportional fair scheduling: enhanced throughout and fairness in LTE DL, IEEE GLOBECOM 2016. [link][PDF].
  28. Y. Zhao, J. Wang, Y. Ma and Q. Du, Generalized local and nonlocal master equations for some stochastic processes, Comput. Math. Appl., 71(11), 2497-2512, 2016.[link][PDF]
  29. Y. Wang, L. Wang, Y. Zhao, A. Song and Y. Ma, A stochastic model for microbial fermentation process under Gaussian white noise environment, Num. Alg.Cont. Opt. 5, 381, (2015). [link]
  30. H. Sun, J. Wen, Y. Zhao, B. Li, and J. Andrew McCammon, A self-consistent phase-field approach to implicit solvation of charged molecules with Poisson-Boltzmann electrostatics, J. Chem. Phys., 143, 243110, 2015. [link][PDF]
  31. B. Camley, Y. Zhang, Y. Zhao, B. Li, E. Ben-Jacob, H. Levine, and W.-J. Rappel, Polarity mechanisms such as contact inhibition of locomotion regulate persistent rotational motion of mammalian cells on micropatterns, Proc. Natl. Acad. Sci. USA, 111, 14770, 2014. [link][PDF]
  32. T. Banham, B. Li, and Y. Zhao, Pattern formation by phase-field relaxation of bending energy with surface-area and volume constrained, Phys. Rev. E, 90, 033308, 2014. [link][PDF]
  33. B. Camley, Y. Zhao, B. Li, H. Levine and W.-J. Rappel, Periodic migration in a physical model of cells on micropatterns, Phys. Rev. Lett., 111, 158102, 2013. [link][PDF][Supplementary]
  34. B. Li and Y. Zhao, Variational implicit solvation with solute molecular mechnics: from diffuse-interface to sharp-interface models, SIAM J. Applied Math., 73(1), 1-23, 2013. [link][PDF]
  35. Y. Zhao, Y. Kwan, J. Che, B. Li and J. A. McCammon, Phase-field approach to implicit solvation of biomolecules with Coulomb-field approximation, J. Chem. Phys., 139, 024111, 2013. [link][PDF]
  36. Y. Zhao and Q. Du, Diffuse interface model of multi-component vesicle adhesion and fusion, Phys. Rev. E, 84, 011903, 2011.[link][PDF]
  37. Y. Zhao, S. Das and Q. Du, Adhesion of multicomponent vesicle membranes, Phys. Rev. E, 81, 041919, 2010. [link][PDF]
  38. Y. Zhao and R. Wang, Some problems on the exactness of splines, Mathematica Numerica Sinica, 28(2), 133-140, 2006. [PDF]

Preprint

  1. Thermal fluctuation effect on diffuse interface width of vesicle membranes, 2016.
  2. Vesicle membranes with anisotropic elastic bending energy, 2016.
  3. J. Elenewski, Y. Zhao and H. Chen, Non-equilibrium transport in open quantum systems via dynamically constrained non-Hermitian boundary domains, 2017, submitted. [link]
  4. J. Elenewski, Y. Zhao and H. Chen, Complex non-Hermitian potentials and real-time time-dependent density functional theory: a master equation approach, 2017, submitted.[link]
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