Skip to content Skip to navigation

Faculty

Yifei Wu Professor

Bio: 

Educational Background

  • PhD, Pure Mathematics, South China University of Technology (2007)
  • MA, Pure Mathematics, South China University of Technology (2004)
  • BA, Mathematics and Statistics, Wuhan University(2000)

Professional Experiences

  • 2025.06-              Dean of School of Mathematical Sciences, Nanjing Normal University
  • 2024.08-              Professor, School of Mathematical Sciences, Nanjing Normal University
  • 2016.04-2024.07 Professor, Center for Applied Mathematics, Tianjin University
  • 2013.03-2016.04 Lecturer, School of Mathematics and Science, Beijing Normal University
  • 2010.07-2013.03 Post-doctoral, Beijing institute of applied physics and computational mathematics

Research

Research Interests

  • Mathematical Theory of Partial Differential Equations;
  • Numerical analysis
  • Harmony analysis

Grant

1.National Natural Science Foundation of China, Dynamics of Solutions of Initial Boundary Value Problems of Fluid Dynamics, 15 million, Participated；

2.JKW Major Special Projects, * *, 2023.11 - 2025.11;

3.National Major Talent Program, 2023;

4.Applied to geometry and partial differential equations, 2023.01-2024.12;

5.National Natural Science Foundation of China, 12171356, Global Behavior Research on the Solution of Nonlinear Schrodinger Equation, 2022.01-2025.12;

6.Tianjin University Original Exploration Project, $500,000, 2022.01-2024.12, ongoing research, chair;

7.National Major Talent Plan, 2019, concluded, hosted;

8.National Natural Science Foundation ongoing project, 11771325, on long-term state of some nonlinear scattering wave equations, 2018.01-2021.12, Concluding, Chairperson;

9.National Natural Science Foundation of China (NSFC) Mathematics Tianyuan Foundation "Promoting Interdisciplinary Integration Platform Construction Project," 11626250, Tianjin Applied Mathematics Center Platform Construction, 2017.01-2017.12,finished, participation;

10.National Natural Science Foundation of China, 11571118, well-posedness and blow-up of quasilinear Schrodinger type equations, 2016.01-2018.12, completed, participated;

11.National Natural Science Foundation of China, 11101042, Well-Posedness and Scattering Theory for Several Kinds of Nonlinear Dispersive Wave Equations, 2012.01-2014.12,concluded and chaired;

12.Chinese Postdoctoral Foundation, 2012 T50068, well-posedness and scattering theory of several nonlinear dispersive wave equations and two-fluid mechanics equations, 2012.06-2013.03, title, hosted;

13.First-class funding from the China Postdoctoral Fund, 2011 0490018, Dynamic behavior of several classes of nonlinear scattering wave equations and dual-fluid mechanics equations, 2010.07-201.06, Concluding, Chair.

Publication

1.Buyang Li, Yifei Wu, Fangyan Yao: Second-order uniformly accurate method for the semiclassical nonlinear Schrodinger equation with initial data in H2, to appear in Numer. Math., 2026. 

2.Jia Shen, Yifei Wu: Scattering for defocusing mass sub-critical NLS, to appear in Memoirs of the AMS, 2025.

3.Buyang Li, Yifei Wu: An unfiltered low-regularity integrator for the KdV equation with solutions below H^1, to appear in Found. Comput. Math., 2025.

4.Jia Rui, Yifei Wu: Instability of the solitary waves for the Generalized Benjamin-Bona-Mahony Equation,  Calc. Var. Partial Differ. Equ., 2025, no. 4, Paper No. 124, 33 pp.

5.Jing, Li, Yue, Liu, Yifei Wu, Haohao Zheng: Stability and instability of solitary-wave solutions for the nonlinear Klein-Gordon equation. J. Funct. Anal. 289 (2025), no.6, Paper No. 110981, 38 pp.

6.Jia Shen, Yifei Wu: Global well-posedness and scattering of 3D defocusing, cubic Schrödinger equation, Mathematical Research Letters, 30 (2023), no. 6, 1931–1961.

7.Bing Li , Yifei Wu , Xiaofei Zhao, Gauge-transformed exponential integrator for generalized KdV equations with rough data, SIAM J. Numer. Anal. 61 (2023), no. 4, 1689–1715.

8.Ruobing Bai; Jia Shen; Yifei Wu, Large Global Solutions for the Energy-Critical Nonlinear Schrödinger Equation, SIAM J. Math. Anal.55 (2023), no.5, 4193–4218.

9.Jia Shen, Avy Soffer, Yifei Wu, Almost sure well-posedness and scattering of the 3D cubic nonlinear Schrödinger equation, Comm. Math. Phys. 397 (2023), 547–605.

10.Yifei Wu, Instability of the standing waves for the nonlinear Klein-Gordon equations in one dimension, Trans. Amer. Math. Soc. 376 (2023), 4085–4103.

11.Genming Bai, Buyang Li, Yifei Wu, A constructive low-regularity integrator for the 1D cubic nonlinear Schrödinger equation under the Neumann boundary condition, IMA J. Numer. Anal., 42(2022), 3499–3528.

12.Cui Ning, Yifei Wu, Xiaofei Zhao: An embedded exponential-type low-regularity integrator for mKdV equation, SIAM J. Numer. Anal., 60 (2022), no. 3, 999-1025.

13.Yifei Wu, Fangyan Yao: A first-order Fourier integrator for the nonlinear Schrödinger equation on xiu_gai_.jpg without loss of regularity. Math. Comp., 91 (2022), no. 335, 1213-1235.

14.Yifei Wu; Xiaofei Zhao: Optimal convergence of a second order low-regularity integrator for the KdV equation, IMA J. Numer. Anal., 42 (2022), no. 4, 3499–3528.

15.Marius Beceanu; Qingquan Deng; Avy Soffer and Yifei Wu: Large global solutions for nonlinear Schrödinger equations II. Mass-supercritical, energy-subcritical cases, Comm. Math. Phys., 382 (2021), 173-237.

16.Marius Beceanu; Qingquan Deng; Avy Soffer and Yifei Wu: Large global solutions for nonlinear Schrödinger equations I. Mass-subcritical cases, Advances in Mathematics, 2021, No. 107973.

17.Buyang Li, Yifei Wu: A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation, Numer. Math, 149 (2021), no. 1, 151–183.

18.Bing Li, Masahito Ohta, Yifei Wu, Jun Xue: Instability of the solitary waves for the generalized Boussinesq equations, SIAM J.Math.Anal., 52 (2020), 3192-3221.

19.Ruobing Bai; Yifei Wu; Jun Xue, Optimal small data scattering for the generalized derivative nonlinear Schrödinger equation, Journal of Differential Equation, 269 (2020), 6422-6447.

20.Zihua Guo, Cui Ning, Yifei Wu, Instability of the solitary wave solutions for the generalized derivative nonlinear Schrödinger equation in the critical frequency case, Mathematical Research Letters, 2019, 339–375.

21.Jiahong Wu, Yifei Wu, Global small solutions to the compressible 2D Magnetohydrodynamic system without magnetic diffusion; Advances in Mathematics, V.310; 2017; 759-888.

22.Stefan Le Coz, Yifei Wu: Stability of multi-solitons for the derivative nonlinear Schrödinger equation; International Mathematics Research Notices, 2017, RNX013, 4120–4170.

23.Jiguang Bao, Yifei Wu: Global well-posedness for periodic generalized Korteweg-de Vries equation; Indiana University Mathematics Journal, V. 66; 2017, 1797-1825.

24.Soonsik Kwon, Yifei Wu: Orbital stability of solitary waves for derivative nonlinear Schrodinger equation，Journal d’Analyse Mathematique, 2017, 473-486.

25.Cui Ning, Masahito Ohta, Yifei Wu: Instability of solitary wave solutions for derivative nonlinear Schrödinger equation in endpoint case, Journal of Differential Equation, 262 (2017),1671-1689.

26.Yifei Wu: Global well-posedness on the derivative nonlinear Schrödinger equation, Analysis & PDE, 8 (2015), 1101-1112.

27.Jiahong Wu, Yifei Wu, Xiaojing Xu: Global small solution to the 2D MHD system with a velocity damping term, SIAM Journal of Mathematical Analysis, 47(2015), 2630–2656.

28.Dong Li，Yifei Wu: The Cauchy problem for the two dimensional Euler-Poisson system, Journal of the European Mathematical Society, 16 (2014), 2211-2266, 2014.

29.Yifei Wu: Global well-posedness for the nonlinear Schrödinger equation with derivative in energy space, Analysis & PDE, 6 (2013), pp 1989-2002.

30.Yongsheng Li, Yifei Wu, Guixiang Xu: Global well-posedness for the mass-critical nonlinear Schrödinger equation, SIAM Journal of Mathematical Analysis, V.43, pp 322-340, 2011.

31.Changxing Miao, Yifei Wu, Guixiang Xu: Global well-posedness for Schrödinger equation with derivative in H1/2(R), Journal of Differential Equation, V.251, pp 2164-2195, 2011.

32.Yongsheng Li, Yifei Wu, Guixiang Xu: Global well-posedness for the periodic mass-critical nonlinear Schrödinger equation, Journal of Differential Equation, V.250, pp 2715-2736, 2011.

Awards and honors

  • In 2019 and 2023，Recipient of a national-level major talent project;
  • In 2023, the Outstanding Young Graduate Supervisor of Tianjin (the inaugural award), the only recipient.

Contact

Email：yerfmath@gmail.com