Yi Zhu's Publications

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List of Publications

Preprints

  1. Reconstruction of dynamical systems from data witout time labels (with Z. Zeng, P. Hu, C. Bao and Z. Shi), arXiv: 2312.04038

  2. Edge states in super honeycomb structures with PT symmetric deformations (with Y. Cao), arXiv: 2402.15702

  3. Identification of hydrodynamic instability by convolutional neural networks (with W. Yang, L. Peng and L. Hong), arXiv:2006.01446

  4. A rigorous derivation of multicomponent diffusion laws (with Z. Yang and W.-A. Yong), arXiv:1502.03516

  5. Generalized hydrodynamics and the classical hydrodynamic limit (with Z. Yang and W.-A. Yong), arXiv: 1809.01611

Published

  1. Weak Collocation Regression for Inferring Stochastic Dynamics with Levy Noise (with L. Guo, L. Lu, Z. Zeng and P. Hu), Commun. Comput. Phys. , to appear

  2. Temporal Difference Learning for High-Dimensional PIDEs with Jumps (with L. Lu, H. Guo and X. Yang), SIAM J. Sci. Comput. , 46 (2024), C349-C368

  3. Fundamental and dipole gap solitons and their dynamics in the cubic–quintic fractional nonlinear Schrödinger model with a PT-symmetric lattice （with L. Wang and J. Zeng）, Physica D , 465（2024）, 134144

  4. Generalized Honeycomb-Structred Materials in the Subwavelength Regime (with B. Miao), SIAM J. Appl. Math. , 84 (2024), 1116-1139

  5. Weak Collocation Regression method: fast reveal hidden stochastic dynamics from high-dimensional aggregate data (with L. Lu, Z. Zeng, Y. Jian and P. Hu), J. Comp. Phys., 502 (2024), 112799

  6. Entropy structure informed learning for solving inverse problems of differential equations (with Y. Jiang, W. Yang and L. Hong), Chaos, Solitons & Fractals, 175 (2023), 114057

  7. Double Dirac Cones in Band Structures of Periodic Schroedinger Operators (with Y. Cao), (SIAM) Multiscale. Model. Simul., 21 (2023), 1147--1169

  8. Traveling edge states in massive Dirac equations along slowly varying edges (with P. Hu and P. Xie), IMA J. Appl. Math., 88 (2023), 455–471

  9. Integrable nonlocal derivative nonlinear Schrödinger equations (with M. Ablowitz, X. Luo and Z. Musslimani), Inverse Problems, 38 (2022), 065003

  10. Three-fold Weyl points in the Schrödinger operator with periodic potentials (with H. Guo and M. Zhang), SIAM Math. Anal., 54 (2022), 3654-3695

  11. Revealing hidden dynamics from time-series data by ODENet (with P. Hu, W. Yang, L. Hong), J. Comp. Phys., 465(2022), 111203

  12. Unfitted Nitsche’s method for computing wave modes in topological materials (with H. Guo and X. Yang), J. Sci. Comput., 88 (2021), 24

  13. Wave packets in the fractional nonlinear Schrödinger equation with a honeycomb potential (with P. Xie), (SIAM) Multiscale. Model. Simul., 19 (2021), 951-979

  14. Unfitted Nitsche's method for computing band structures in phononic crystals with impurities (with H. Guo and X. Yang), Comput. Methods Appl. Mech. Engrg. 380 (2021) 113743

  15. When machine learning meets multiscale modeling in chemical reactions (with W. Yang, L. Peng and L. Hong), J. Chem. Phys. 153 (2020), 094117 ; Featured & Cover Article

  16. Linear and nonlinear wave dynamics in modulated honeycomb media (with P. Hu and L. Hong), Stud. Appl. Math. 144 (2020), 18-45

  17. Wave-packet dynamics in slowly modulated photonic graphene (with P. Xie), J. Differential Equations 267 (2019), 5775-5808

  18. Elliptic operators with honeycomb symmetry: Dirac points, edge states and applications to photonic graphene (with J. P. Lee-Thorp and M. I. Weinstein), Arch. Rational Mech. Anal. 232 (2019), 1-63

  19. Bloch theory-based gradient recovery method for computation of edge mode in photonic graphene (with H. Guo and X. Yang), J. Comp. Phys. 379 (2019), 403-420

  20. Generalized Onsager's reciprocal relations for the master and Fokker-Planck equations (with L. Peng and L. Hong), Phys. Rev. E 97 (2018), 062123

  21. The Markov process admits a consistent steady-state thermodynamic formalism (with L. Peng and L. Hong), J. Math. Phys. 59 (2018), 013302

  22. Local bifurcation of electro-hydrodynamic waves on a conducting fluid (with Z. Lin and Z. Wang), Phys. Fluids 29 (2017), 032107

  23. Transport properties in the photonic super-honeycomb lattice a hybrid fermionic and bosonic system (with H. Zhong, Y. Zhang, et al), Ann. Phys. 529 (2017), 1600258

  24. Novel dissipative properties of the master equation (with L. Hong, J. Chen and W.-A. Yong), J. Math. Phys. 57 (2016), 103303

  25. PT symmetry in a fractional Schrodinger equation (with Y. Zhang, H. Zhong, M. R. Belic et al), Laser Photon. Rev. 10 (2016), 526-531

  26. A novel construction of thermodynamically compatible models and its correspondence with Boltzmann-equation-based moment-closure hierarchies (with L. Hong, Z. Yang and W.-A. Yong), J. Non-Equil. Thermodynamics 40 (2015), 247-256

  27. Conservation-dissipation formalism for non-equilibrium thermodynamics (with L. Hong, Z. Yang and W.-A. Yong), J. Non-Equil. Thermodynamics 40 (2015), 67-74

  28. Dynamics in PT-symmetric honeycomb lattices with nonlinearity (with C. W. Curtis), Stud. Appl. Math. 135 (2015), 139-170 Highlight of the Journal in 2015

  29. Unveiling pseudo-spin and angular momentum in photonic graphene (with D. Song, V. Paltoglou et al), Nat. Commun. 6 (2015), 6272

  30. Direct observation of pseudospin-mediated vortex generation in photonic graphene (D. Song,L. Tang, S. Liu, et al), CLEO:EELS Fundamental Science , 2014

  31. Nonlinear wave packets in deformed honeycomb lattices (with M. J. Ablowitz), SIAM J. Appl. Math. 73 (2013), 1959-1979

  32. Nonlinear Dynamics of Bloch Wave Packets in Honeycomb Lattices (with M. J. Ablowitz), in book "Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations" Progress in Optical Science and Photonics 1(2013), 1-26

  33. Localized nonlinear edge states in honeycomb lattices (with M. J. Ablowitz and C. W. Curtis), Phys. Rev. A 88 (2013), 13850.

  34. Unified orbital description of the envelope dynamics in two-dimensional simple periodic lattices (with M. J. Ablowitz), Stud. Appl. Math. 131 (2013),41-71

  35. Nonlinear dynamics of wave packets in parity-time-symmetric optical lattices near the phase transition point (with S.D. Nixon and J. Yang), Opt. Lett. 37 (2012),4874-4876

  36. On Tight Binding Approximations in Optical lattice (with M. J. Ablowitz and C. W. Curtis), Stud. Appl. Math. 129 (2012),362-388

  37. Nonlinear waves in shallow honeycomb lattices (with M. J. Ablowitz), SIAM J. Appl. Math. 72 (2012) 240-260

  38. Scalable Misbehavior Detection in Online Video Chat Services (with X. Xing, Y. Liang, et al), Proceedings of the 18th ACM SIGKDD international conference on Knowledge discovery and data mining 2012, 552-560

  39. Nonlinear diffraction in photonic graphene (with M. J. Ablowitz), Opt. Lett. 36 (2011),762-3764

  40. Nonlinear wave dynamics: from lasers to fluids (with M. J. Ablowitz, T. S. Haut, T. P.Horikis and S. D. Nixon), Discrete Contin. Dyn. Syst. S 4 (2011), 923 - 955

  41. Evolution of Bloch-mode envelopes in two-dimensional generalized honeycomb lattices (with M. J. Ablowitz), Phys. Rev. A 82 (2010), 013840

  42. Conical diffraction in honeycomb lattices (with M.J. Ablowitz and S. D. Nixon), Phys.Rev. A 79(2009), 053830 One figure appears in the Kaleidoscope May 2009 of the journal

  43. Asymptotic analysis of pulse dynamics in mode-locked lasers (with M. J. Ablowitz, T. P. Horikis and S. D. Nixon), Stud. Appl. Math. 122 (2009), 411-425

  44. Separatrix map analysis for fractal scatterings in weak solitary wave interactions (with J.Yang and R. Haberman), Stud. Appl. Math. 122 (2009), 449-483

  45. A universal separatrix map for weak interactions of solitary waves in generalized nonlinear Schrödinger equations (with J. Yang and R. Haberman), Physica D 237 (2008), 2411-2422

  46. Universal map for fractal structures in weak interactions of solitary waves (with J. Yang and R. Haberman), Phys. Rev. Lett. 100 (2008), 143901

  47. Universal fractal structures in the weak interaction of solitary waves in generalized nonlinear Schrödinger equations (with J. Yang), Phys. Rev. E 75 (2007), 036605