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个人简介

Education 2008 Ph.D. in Mathematics Tsinghua University, China 2003 B.S. in Mathematics Tsinghua University, China Position June. 2021 - : Research Fellow (adjunct), Yanqi Lake Beijing Institute of Mathematical Sciences and Applications Jan. 2020 - : Associate professor, Yau Mathematical Sciences Center and Department of Mathematical Sciences, Tsinghua University Sep. 2011 - Dec. 2019: Associate professor, Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University Aug. 2008 - Jul. 2011 : Postdoctoral Researcher/Instructor, Department of Applied Mathematics, University of Colorado-Boulder Awards and Grants 2021-2026 PI: National Key R&D Program of China 2022-2024 PI: National Youth Top Talent Program of China 2019-2022 PI: National Natural Science Foundation of China 2015-2018 Participant: National Natural Science Foundation of China 2014-2016 CoPI: Tsinghua University Initiative Scientific Research Program 2013 -2015 PI: National Natural Science Foundation of China 2012 -2015 PI: Tsinghua University Initiative Scientific Research Program

研究领域

应用与计算数学

近期论文

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Preprints Weak Collocation Regression method: fast reveal hidden stochastic dynamics from high-dimensional aggregate data} (with L. Lu, Z. Zeng, Y. Jian and P. Hu), arXiv 2209.02628 Generalized Honeycomb-Structred Materials in the Subwavelength Regime (with B. Miao), arXiv:2303.15719 Identification of hydrodynamic instability by convolutional neural networks (with W. Yang, L. Peng and L. Hong), arXiv:2006.01446 A rigorous derivation of multicomponent diffusion laws (with Z. Yang and W.-A. Yong), arXiv:1502.03516 Generalized hydrodynamics and the classical hydrodynamic limit (with Z. Yang and W.-A. Yong), arXiv: 1809.01611 Published Double conical degeneracy on the band structure of periodic Schr?dinger operators (with Y. Cao), (SIAM) Multiscale. Model. Simul., 21 (2023) 1147--1169 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 Integrable nonlocal derivative nonlinear Schr?dinger equations (with M. Ablowitz, X. Luo and Z. Musslimani), Inverse Problems, 38 (2022), 065003 Three-fold Weyl points in the Schr?dinger operator with periodic potentials (with H. Guo and M. Zhang), SIAM Math. Anal., 54 (2022), 3654-3695 Revealing hidden dynamics from time-series data by ODENet (with P. Hu, W. Yang, L. Hong), J. Comp. Phys., 465(2022), 111203 Unfitted Nitsche’s method for computing wave modes in topological materials (with H. Guo and X. Yang), J. Sci. Comput., 88 (2021), 24 Wave packets in the fractional nonlinear Schr?dinger equation with a honeycomb potential (with P. Xie), (SIAM) Multiscale. Model. Simul., 19 (2021), 951-979 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 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 Linear and nonlinear wave dynamics in modulated honeycomb media (with P. Hu and L. Hong), Stud. Appl. Math. 144 (2020), 18-45 Wave-packet dynamics in slowly modulated photonic graphene (with P. Xie), J. Differential Equations 267 (2019), 5775-5808 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 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 Generalized Onsager's reciprocal relations for the master and Fokker-Planck equations (with L. Peng and L. Hong), Phys. Rev. E 97 (2018), 062123 The Markov process admits a consistent steady-state thermodynamic formalism (with L. Peng and L. Hong), J. Math. Phys. 59 (2018), 013302 Local bifurcation of electro-hydrodynamic waves on a conducting fluid (with Z. Lin and Z. Wang), Phys. Fluids 29 (2017), 032107 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 Novel dissipative properties of the master equation (with L. Hong, J. Chen and W.-A. Yong), J. Math. Phys. 57 (2016), 103303 PT symmetry in a fractional Schrodinger equation (with Y. Zhang, H. Zhong, M. R. Belic et al), Laser Photon. Rev. 10 (2016), 526-531 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 Conservation-dissipation formalism for non-equilibrium thermodynamics (with L. Hong, Z. Yang and W.-A. Yong), J. Non-Equil. Thermodynamics 40 (2015), 67-74 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 Unveiling pseudo-spin and angular momentum in photonic graphene (with D. Song, V. Paltoglou et al), Nat. Commun. 6 (2015), 6272 Direct observation of pseudospin-mediated vortex generation in photonic graphene (D. Song,L. Tang, S. Liu, et al), CLEO:EELS Fundamental Science , 2014 Nonlinear wave packets in deformed honeycomb lattices (with M. J. Ablowitz), SIAM J. Appl. Math. 73 (2013), 1959-1979 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 Localized nonlinear edge states in honeycomb lattices (with M. J. Ablowitz and C. W. Curtis), Phys. Rev. A 88 (2013), 13850. Unified orbital description of the envelope dynamics in two-dimensional simple periodic lattices (with M. J. Ablowitz), Stud. Appl. Math. 131 (2013),41-71 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 On Tight Binding Approximations in Optical lattice (with M. J. Ablowitz and C. W. Curtis), Stud. Appl. Math. 129 (2012),362-388 Nonlinear waves in shallow honeycomb lattices (with M. J. Ablowitz), SIAM J. Appl. Math. 72 (2012) 240-260 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 Nonlinear diffraction in photonic graphene (with M. J. Ablowitz), Opt. Lett. 36 (2011),762-3764 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 Evolution of Bloch-mode envelopes in two-dimensional generalized honeycomb lattices (with M. J. Ablowitz), Phys. Rev. A 82 (2010), 013840 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 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 Separatrix map analysis for fractal scatterings in weak solitary wave interactions (with J.Yang and R. Haberman), Stud. Appl. Math. 122 (2009), 449-483 A universal separatrix map for weak interactions of solitary waves in generalized nonlinear Schr?dinger equations (with J. Yang and R. Haberman), Physica D 237 (2008), 2411-2422 Universal map for fractal structures in weak interactions of solitary waves (with J. Yang and R. Haberman), Phys. Rev. Lett. 100 (2008), 143901 Universal fractal structures in the weak interaction of solitary waves in generalized nonlinear Schr?dinger equations (with J. Yang), Phys. Rev. E 75 (2007), 036605

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