研究领域

应用与计算数学

教育背景

2003-2008  博士  清华大学
1999-2003  学士  清华大学

工作经历

2020.01–现在,清华大学丘成桐数学科学中心/数学科学系,副教授
2011.09-2019.12,清华大学周培源应用数学研究中心,  副研究员
2008.08–2011.09,University of Colorado-Boulder,  讲师

发表论文

(40) Unfitted Nitsche's method for computing band structures in phononic crystals with impurities (with H. Guo and X. Yang) arXiv:2007.12850

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

(38) Revealing hidden dynamics from time-series data by ODENet (with P. Hu, W. Yang, L. Hong), arXiv:2005.04849
(37) Wave packets in the fractional nonlinear Schroedinger equation with a honeycomb potential (with P. Xie), arXiv:2005.04849

(36) Unfitted Nitsche’s method for computing wave modes in topological materials (with H. Guo and X. Yang), arXiv:1908.06585

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

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

(33) When machine learning meets multiscale modeling in chemical reactions (with W. Yang, L. Peng and L. Hong)  to appear in J. Chem. Phys.

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

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

(30) 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

(29) 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

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

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

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

(25) 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

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

(22) 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

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

(20) Dynamics in PT-symmetric honeycomb lattices with nonlinearity (with C. W. Curtis), Stud. Appl. Math. 135 (2015), 139-170

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

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

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

(16) 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

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

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

(13) 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

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

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

(10) 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

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

(8) 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

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

(6) Conical diffraction in honeycomb lattices (with M.J. Ablowitz and S. D. Nixon), Phys.Rev. A 79(2009), 053830

(5) 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

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

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

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

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